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Topics referred to by the same term
Look up sheaf in Wiktionary, the free dictionary. Sheaf may refer to: Sheaf (agriculture), a bundle of harvested cereal stems Sheaf (mathematics), a mathematical
Sheaf
Tool to track locally defined data attached to the open sets of a topological space
Look up sheaf in Wiktionary, the free dictionary. In mathematics, a sheaf (pl.: sheaves) is a tool for systematically tracking data (such as sets, abelian
Sheaf_(mathematics)
English footballer (born 1998)
Benjamin David Sheaf (born 5 February 1998) is an English professional footballer who plays as a defensive midfielder for EFL Championship club Wrexham
Ben_Sheaf
reflexive sheaf is a coherent sheaf that is isomorphic to its second dual (as a sheaf of modules) via the canonical map. The second dual of a coherent sheaf is
Reflexive_sheaf
Manufacturer of writing instruments
Sheaffer Pen Corporation (/ˈʃeɪfər/) is an American manufacturing company of writing instruments, particularly luxury fountain pens. The company was founded
Sheaffer
List of ships with the same or similar names
the Sheaf Steam Shipping Co were named Sheaf Mount. SS Sheaf Mount (1914), in service 1919–30 SS Sheaf Mount (1924), in service 1939–42 MV Sheaf Mount (1944)
Sheaf_Mount
geometry, given a morphism f: X → S of schemes, the cotangent sheaf on X is the sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules Ω X / S {\displaystyle
Cotangent_sheaf
Concept from algebraic geometry
In algebraic geometry, the dualizing sheaf on a proper scheme X of dimension n over a field k is a coherent sheaf ω X {\displaystyle \omega _{X}} together
Dualizing_sheaf
In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally
Constructible_sheaf
In algebraic geometry and other areas of mathematics, an ideal sheaf (or sheaf of ideals) is the global analogue of an ideal in a ring. The ideal sheaves
Ideal_sheaf
Generalization of vector bundles
Coherent sheaf cohomology is a powerful technique, in particular for studying the sections of a given coherent sheaf. A quasi-coherent sheaf on a ringed
Coherent_sheaf
Bundle of cereal-crop stems bound together after reaping
A sheaf (/ʃiːf/; pl.: sheaves) is a bunch of cereal-crop stems bound together after reaping, traditionally by sickle, later by scythe or, after its introduction
Sheaf_(agriculture)
Mathematical construction
In mathematics, the stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point. Sheaves are defined on open
Stalk_(sheaf)
In mathematics, a motivic sheaf is a motivic-cohomology counterpart of an l-adic sheaf. It was first introduced by Morel and Voevodsky and was later developed
Motivic_sheaf
In mathematics, a twisted sheaf is a variant of a coherent sheaf. Precisely, it is specified by: an open covering in the étale topology Ui, coherent sheaves
Twisted_sheaf
Mathematical object in sheaf cohomology
to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext). There is a further group of related concepts
Injective_sheaf
Tool in algebraic topology
sheaf cohomology is the application of homological algebra to analyze the global sections of a sheaf on a topological space. Broadly speaking, sheaf cohomology
Sheaf_cohomology
In mathematics, a torsion sheaf is a sheaf of abelian groups F {\displaystyle {\mathcal {F}}} on a site for which, for every object U, the space of sections
Torsion_sheaf
American actress (born 1996)
Sasha Pieterse Sheaffer (/ˈpiːtərsə/; born February 17, 1996) is a South African-born American actress and singer. She is known for portraying Alison DiLaurentis
Sasha_Pieterse
Traditional Scottish agricultural sport
The sheaf toss (Scottish Gaelic: sguab) is a traditional Irish and Scottish agricultural sport event originally contested at country fairs. A pitchfork
Sheaf_toss
English footballer
Max Daniel Sheaf (born 10 March 2000) is an English footballer who plays as a midfielder for Isthmian League Premier Division club Eastbourne Borough
Max_Sheaf
Symbol of the Bangladesh Nationalist Party
The Sheaf of Paddy (Bengali: ধানের শীষ) is the political symbol of the Bangladesh Nationalist Party (BNP). After the establishment of Pakistan, the National
Sheaf_of_Paddy_(politics)
Objects of certain abelian categories associated to topological spaces
individual D-modules (and not more general complexes thereof); a perverse sheaf is in general represented by a complex of sheaves. The concept of perverse
Perverse_sheaf
Surname list
Sheafer, Sheaffer, and Sheafor are variations of a surname. People with this surname include Sheafer Edward D. Sheafer Jr. (1940–2016), United States Navy
Sheafer
Projective analogue of the spectrum of a ring
indispensable. We also construct a sheaf on Proj S {\displaystyle \operatorname {Proj} S} , called the “structure sheaf” as in the affine case, which makes
Proj_construction
Topics referred to by the same term
Associated sheaf may refer to: Sheaf associated to a presheaf Sheaf associated to a module This disambiguation page lists mathematics articles associated
Associated_sheaf
Concept in mathematics
group scheme G on a scheme X over a base scheme S, an equivariant sheaf F on X is a sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules together with
Equivariant_sheaf
River in South Yorkshire, England
The River Sheaf in Sheffield, South Yorkshire, England, flows northwards, past Dore, through Abbeydale and north of Heeley. It then passes into a culvert
River_Sheaf
Historic building in Berkeley, California, US
Golden Sheaf Bakery is a historical building and former bakery built in 1905 and located at 2069–2071 Addison Street in Berkeley, California, U.S. It
Golden_Sheaf_Bakery
Student Run Newspaper
The Sheaf is a student-run newspaper serving the University of Saskatchewan in Saskatoon, Saskatchewan since 1912. A new issue comes out every Thursday
The_Sheaf
Sheaf consisting of modules on a ringed space; generalizing vector bundles
In mathematics, a sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf of abelian groups F such that, for any open subset U of
Sheaf_of_modules
field of algebraic topology, the orientation sheaf on a manifold X of dimension n is a locally constant sheaf oX on X such that the stalk of oX at a point
Orientation_sheaf
In mathematics, a sheaf of planes is the set of all planes that have the same common line. It may also be known as a fan of planes or a pencil of planes
Sheaf_of_planes
Sheaf theory
In algebraic topology, a locally constant sheaf on a topological space X is a sheaf F {\displaystyle {\mathcal {F}}} on X such that for each x in X, there
Locally_constant_sheaf
2005–2006 comic strip
Capitalist Piglet is a comic strip that appeared briefly in The Sheaf from 2005 to 2006. It is best known for a controversial instalment depicting Jesus
Capitalist_Piglet
In mathematics, a mapping between categories
given a sheaf F defined on a topological space X and a continuous map f: X → Y, we can define a new sheaf f∗F on Y, called the direct image sheaf or the
Direct_image_functor
exponential sheaf sequence is a fundamental short exact sequence of sheaves used in complex geometry. Let M be a complex manifold, and write OM for the sheaf of
Exponential_sheaf_sequence
Object in mathematical sheaf theory
mathematics, the constant sheaf on a topological space X {\displaystyle X} associated to a set A {\displaystyle A} is a sheaf of sets on X {\displaystyle
Constant_sheaf
United States historic place
Barley Sheaf Inn is a historic inn and tavern located at East Norriton Township, Montgomery County, Pennsylvania. It is a 2 1/2-story, plastered stone
Barley_Sheaf_Inn
Concept in algebraic geometry
especially in algebraic geometry and the theory of complex manifolds, coherent sheaf cohomology is a technique for producing functions with specified properties
Coherent_sheaf_cohomology
Axiom specifying the requisites of a sheaf on a topological space
In mathematics, the gluing axiom is introduced to define what a sheaf F {\displaystyle {\mathcal {F}}} on a topological space X {\displaystyle X} must
Gluing_axiom
Generalizations of codimension-1 subvarieties of algebraic varieties
it is a fractional ideal sheaf (see below). Conversely, every rank one reflexive sheaf corresponds to a Weil divisor: The sheaf can be restricted to the
Divisor_(algebraic_geometry)
the W.A. Sheaffer Pen Company. Walter A. Sheaffer was born in Bloomfield, Davis County, Iowa, on July 27, 1867. His father, Jacob Sheaffer, moved to
Walter_A._Sheaffer
Open space in Sheffield, England
Sheaf Square is a municipal square lying immediately east of the city centre of Sheffield, England. The sides of the square are lined with major buildings:
Sheaf_Square
Type of ringed space
In algebraic geometry, a sheaf of algebras on a ringed space X is a sheaf of commutative rings on X that is also a sheaf of O X {\displaystyle {\mathcal
Sheaf_of_algebras
British actress (1925–1991)
p. 118; Sheaffer, p. 150 and p. 179. Scovell, p. 40 Scovell, p. 71 for Burton Ranald, pp. 66–7; Sheaffer, pp. 180–183 and p. 203. Sheaffer, p. 211 and
Oona_O'Neill
American journalist (1912 – 1993)
Louis Sheaffer (né Slung October 18, 1912 – August 7, 1993) was an American journalist for the Brooklyn Eagle between 1934 and 1955. After the newspaper's
Louis_Sheaffer
Sheaf of rings in mathematics
Precisely, it is a topological space equipped with a sheaf of rings called a structure sheaf. It is an abstraction of the concept of the rings of continuous
Ringed_space
Type of sheaf of modules
In mathematics, an invertible sheaf is a sheaf on a ringed space that has an inverse with respect to tensor product of sheaves of modules. It is the equivalent
Invertible_sheaf
Manifold upon which it is possible to perform calculus
charts and atlases). Third, the sheaf OM is not manifestly a sheaf of functions at all. Rather, it emerges as a sheaf of functions as a consequence of
Differentiable_manifold
American writer and UFO skeptic (born 1949)
Robert Sheaffer (born 1949) is an American freelance writer and UFO skeptic. He is a paranormal investigator of unidentified flying objects, having researched
Robert_Sheaffer
Concept in algebraic geometry
p : E → Y {\displaystyle p\colon E\to Y} (or more generally a coherent sheaf on Y {\displaystyle Y} ) has a pullback to X {\displaystyle X} , f ∗ E =
Ample_line_bundle
Generalization of algebraic variety
quasi-coherent sheaf on a scheme X means an OX-module that is the sheaf associated to a module on each affine open subset of X. Finally, a coherent sheaf (on a
Scheme_(mathematics)
Ancient Lombardic king in English legend
placed a sheaf (sceaf) of wheat on a round shield (scyld) and a wax candle upon the sheaf which they lit. They then floated the shield with sheaf and candle
Sceafa
{\displaystyle {\mathsf {Sch}}_{S}} to the category of groups that is a Zariski sheaf (i.e., satisfying the gluing axiom for the Zariski topology). For example
Group_functor
Football stadium in Sheffield, England
Sheaf House is a former home ground of The Wednesday Football Club and was located near the centre of Sheffield, South Yorkshire, England. The club started
Sheaf_House_(stadium)
Alleged alien abduction, 1975
social media and broadcast on such podcasts as Erica Lukes' UFO series. Sheaffer has recommended a new website and materials developed by Charlie Wiser
Travis_Walton_incident
Theorem in algebraic geometry
geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre Serre. The basic
Serre_duality
Type of Grothendieck topology on the category of schemes
called an étale sheaf if it satisfies the analog of the usual gluing condition for sheaves on topological spaces. That is, F is an étale sheaf if and only
Étale_topology
Film festival
to the first festival held in 1950. In 1979 she was awarded the Golden Sheaf for her hard work and dedication to the Yorkton Film Festival. * In 2012
Yorkton_Film_Festival
A Last Sheaf is the title given to the second posthumous publication of works by the writer and painter Denton Welch. Published in 1951 by John Lehmann
A_Last_Sheaf
The Sheaffer Prelude fountain pens, rollerball pens and ballpoints are a line of writing instruments made by the Sheaffer Pen Company. The pen is made
Sheaffer_Prelude
Mathematical group occurring in algebraic geometry and the theory of complex manifolds
complex manifolds. Alternatively, the Picard group can be defined as the sheaf cohomology group H 1 ( X , O X ∗ ) . {\displaystyle H^{1}(X,{\mathcal {O}}_{X}^{*})
Picard_group
Purveyor of alcoholic beverages
Schaefer Beer is a brand of American beer first produced in New York City during 1842 by the F. & M. Schaefer Brewing Company. The company relocated to
Schaefer_Beer
Type of mathematical function
then verify that the sheaf axioms hold for this construction, giving us a sheaf of abelian groups (even commutative rings). This sheaf could be written Z
Locally_constant_function
Gives general conditions under which sheaf cohomology groups with indices > 0 are zero
and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. The implications
Kodaira_vanishing_theorem
Sheaf theory concept
resolution of a sheaf is a construction in homological algebra that allows one to view global, cohomological information about the sheaf in terms of local
Godement_resolution
Construction in algebraic topology
image exhibits some relatively subtle features. Suppose we are given a sheaf G {\displaystyle {\mathcal {G}}} on Y {\displaystyle Y} and that we want
Inverse_image_functor
In algebraic geometry, an ℓ-adic sheaf on a Noetherian scheme X is an inverse system consisting of Z / ℓ n {\displaystyle \mathbb {Z} /\ell ^{n}} -modules
ℓ-adic_sheaf
Heraldic figure
During the late 16th century, the vase was depicted to look more like a sheaf, while medieval depictions show a sort of bundle, and which possibly could
Vase_(heraldry)
Expresses the number of points of a variety over a finite field
general version for a sheaf over the variety, where the cohomology groups are replaced by cohomology with coefficients in the sheaf. The Grothendieck trace
Grothendieck_trace_formula
geometry, a quasi-coherent sheaf on an algebraic stack X {\displaystyle {\mathfrak {X}}} is a generalization of a quasi-coherent sheaf on a scheme. The most
Sheaf_on_an_algebraic_stack
English actor and filmmaker (1889–1977)
Friedrich, p. 393. Louvish, p. 135. Chaplin, pp. 423–444; Robinson, p. 670. Sheaffer, pp. 623, 658. Chaplin, pp. 423, 477. Robinson, p. 519. Robinson, pp. 671–675
Charlie_Chaplin
Sheaf cohomology on the étale site
Et(X) to sets. A presheaf F on a topological space is called a sheaf if it satisfies the sheaf condition: whenever an open subset is covered by open subsets
Étale_cohomology
In algebraic geometry, the Castelnuovo–Mumford regularity of a coherent sheaf F over projective space P n {\displaystyle \mathbf {P} ^{n}} is the smallest
Castelnuovo–Mumford regularity
Castelnuovo–Mumford_regularity
Algebraic structure used in topology
Alexander–Spanier cohomology or sheaf cohomology). (Here sheaf cohomology is considered only with coefficients in a constant sheaf.) These theories give different
Cohomology
sequence that relates Čech cohomology of a sheaf and sheaf cohomology. Let F {\displaystyle {\mathcal {F}}} be a sheaf on a topological space X. Choose an open
Čech-to-derived functor spectral sequence
Čech-to-derived_functor_spectral_sequence
American cyclist
Nathan Sheafor (born November 16, 1961) is an American former cyclist. Sheafor won the 1989 United States National Time Trial Championships. He also competed
Nathan_Sheafor
American judge (1852–1928)
John W. Sheafor (March 9, 1852 – January 24, 1928) was an associate justice of the Colorado Supreme Court from 1923 until his death in 1928. Born in Manchester
John_W._Sheafor
Cohomology with real coefficients computed using differential forms
\Omega ^{k}} denote the sheaf of germs of k {\displaystyle k} -forms on M {\displaystyle M} (with Ω 0 {\textstyle \Omega ^{0}} the sheaf of C ∞ {\textstyle
De_Rham_cohomology
affine, stated in terms of sheaf cohomology. The theorem was first published by Serre in 1957. Let X be a scheme with structure sheaf OX. If: (1) X is quasi-compact
Serre's_theorem_on_affineness
Type of mathematical functions
translated this notion into the notion of the coherent (sheaf) (Especially, coherent analytic sheaf) in sheaf cohomology. This name comes from H. Cartan. Also
Function of several complex variables
Function_of_several_complex_variables
Differential form in commutative algebra
subscheme V, then the cotangent sheaf restricts to a sheaf on U which is similarly universal. It is therefore the sheaf associated to the module of Kähler
Kähler_differential
John Richard "Jack" Sheaffer (August 28, 1931 – December 21, 2016) was an American environmental engineer. He was the creator of an environmentally sensitive
John_Richard_Sheaffer
Form of European straw work
Among the customs attached to the last sheaf of the harvest were hollow shapes fashioned from the last sheaf of wheat or other cereal crops. The corn
Corn_dolly
spectrum is often called perfect; see also module spectrum. When the structure sheaf O X {\displaystyle {\mathcal {O}}_{X}} is not coherent, working with coherent
Perfect_complex
Vector bundle existing over a Grassmannian
invertible sheaf) is O P n ( − 1 ) , {\displaystyle {\mathcal {O}}_{\mathbb {P} ^{n}}(-1),} the dual of the hyperplane bundle or Serre's twisting sheaf O P n
Tautological_bundle
Building in Sheffield, England
Sheaf House was a nine-storey tower building by Sheaf Square, next to Sheffield railway station, in the centre of Sheffield, in South Yorkshire, England
Sheaf_House
American field hockey player
Charles Miller Sheaffer, Jr. (December 6, 1904 – August 28, 1989), also known as "Juney" Sheaffer, was an American field hockey player who played in the
Charles_Sheaffer
Extension of the domain of an analytic function (mathematics)
points, and its investigation was a major reason for the development of sheaf cohomology. Suppose f is an analytic function defined on a non-empty open
Analytic_continuation
British occultist, artist and illustrator (1878–1951)
collections of Jamaican folklore, edited two magazines, and ran the Green Sheaf Press, a small press focused on women writers. Smith was born at 28 Belgrave
Pamela_Colman_Smith
Construction in homological algebra
universal enveloping algebra. For a topological space X {\displaystyle X} , sheaf cohomology can be defined as H ∗ ( X , A ) = Ext ∗ ( Z X , A ) . {\displaystyle
Ext_functor
Country in West Asia
A Sabaean gravestone of a woman holding a stylized sheaf of wheat, a symbol of fertility in ancient Yemen
Yemen
∗ F → π ∗ G {\displaystyle \pi _{*}F\to \pi _{*}G} is an isomorphism. A sheaf of spectra is then a fibrant/cofibrant object in that category. The notion
Sheaf_of_spectra
Two closely related mathematical subjects
if F {\displaystyle {\mathcal {F}}} is a sheaf on X {\displaystyle X} , then there is a corresponding sheaf F an {\displaystyle {\mathcal {F}}^{\text{an}}}
Algebraic geometry and analytic geometry
Algebraic_geometry_and_analytic_geometry
Short exact sequence of sheaves on projective space
the sheaf of relative differentials is stably isomorphic to an ( n + 1 ) {\displaystyle (n+1)} -fold sum of the dual of the Serre twisting sheaf. The
Euler_sequence
scheme. F(n), F(D) 1. If X is a projective scheme with Serre's twisting sheaf O X ( 1 ) {\displaystyle {\mathcal {O}}_{X}(1)} and if F is an O X {\displaystyle
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
American anti-abortion non-profit organisation
was founded in 1995 as America's Pregnancy Helpline by Mike and Annie Sheaffer. Between 1995 and 2003, it worked as a helpline that provided information
American Pregnancy Association
American_Pregnancy_Association
Mathematical structure
comes from. The classical definition of a sheaf begins with a topological space X {\displaystyle X} . A sheaf associates information to the open sets of
Grothendieck_topology
notion was introduced by A. Joyal in the 1970s. Similarly, a simplicial sheaf on a site is a simplicial object in the category of sheaves on the site
Simplicial_presheaf
SHEAF
SHEAF
Boy/Male
Arabic, Australian, Biblical, Christian, French, Hebrew, Jewish
Sheaf of Corn; King of Israel; Servant of Jehovah; My Sheaf
Biblical
sheaf of corn
Girl/Female
Biblical
Roundness of a sheaf.
Female
Hebrew
(×וּמָרִית) Hebrew name UMARIT means "sheaf."
Surname or Lastname
English (Kent)
English (Kent) : from Middle English shefe ‘sheaf’, ‘bundle’ (Old English scēaf), hence possibly a metonymic occupational name for a harvest worker, or for someone who paid or collected tithes, from the same term in the sense ‘tenth’ (or other proportion of produce paid as a tithe).Jacob Sheafe (d. 1658) was one of the founds of Boston MA. He is buried in the King’s Chapel Burying Ground there.
Surname or Lastname
English
English : habitational name from the city in South Yorkshire, so called from the river name Sheaf (from Old English scēað ‘boundary’) + Old English feld ‘pasture’, ‘open country’. There are also minor places of the same name in Sussex (from Old English scēap, scīp ‘sheep’ + feld) and Berkshire (from Old English scēo ‘shelter’, ‘shed’ + feld), which may have contributed to the surname.
Biblical
roundness of a sheaf
Male
Hebrew
(עׄמֶר) Hebrew name derived from the word omer, OMER means "sheaf." In the bible, this is "a measure" of dry things, containing the tenth part of an Ephah.
Boy/Male
Biblical
Sheaf of corn.
Boy/Male
Afghan, African, American, Arabic, Finnish, French, German, Gujarati, Hebrew, Hindu, Indian, Iranian, Jewish, Kannada, Lebanese, Malaysian, Marathi, Muslim, Oriya, Parsi, Pashtun, Sindhi, Swedish, Tamil, Telugu
Rich; Leader; From Kikuyu; Wealthy; Ruler; King; Emir; Treetop; Sheaf; Prince Ruler; Mighty; Strong; Prosperous; Proclaimed; Commander
SHEAF
SHEAF
Boy/Male
Muslim/Islamic
Servant of the Most Holy
Boy/Male
British, English
Battle Leader
Girl/Female
Biblical
Defense, a bough.
Boy/Male
Tamil
Priyadarshan | பà¯à®°à®¿à®¯à®¤à®°à¯à®·à®¨
Nice to look at, Handsome
Girl/Female
Afghan, Arabic, Muslim
Bright; Brilliant; Shining
Girl/Female
Hindu
Alert, Awake, Watchful, King
Boy/Male
Tamil
Awaz sound, Akhar word
Girl/Female
Indian, Sanskrit
Meditation Sleep
Boy/Male
Arabic
Comfortable; Abundant; Ample
Boy/Male
Muslim
Signal, Guidance, Guiding hand
SHEAF
SHEAF
SHEAF
SHEAF
SHEAF
a.
United into a conical bundle, or into a bundle with an enlarged head, like a sheaf of wheat.
n.
Any collection of things bound together; a bundle; specifically, a bundle of arrows sufficient to fill a quiver, or the allowance of each archer, -- usually twenty-four.
a.
Pertaining to, or consisting of, a sheaf or sheaves; resembling a sheaf.
pl.
of Sheaf
v. t.
To gather and bind into a sheaf; to make into sheaves; as, to sheaf wheat.
v. i.
To collect and bind cut grain, or the like; to make sheaves.
n.
The place in a barn where hay or grain in the sheaf is stowed.
n.
A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
n.
A sheave.
n.
A sheaf of grain (wheat, unless otherwise specified).
n.
The top sheaf of a stack of grain: (fig.) the crowning or finishing part of a thing.
v. t.
To gather and bind into a sheaf or sheaves; hence, to collect.
n.
A common mineral of the zeolite family, a hydrous silicate of alumina and lime, usually occurring in sheaflike aggregations of crystals, also in radiated masses. It is of a white or yellowish color, with pearly luster on the cleavage surface. Called also desmine.