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Map in projective geometry
In mathematics, the Segre embedding is a map used in projective geometry to consider the cartesian product of two projective spaces as a projective variety
Segre_embedding
many examples in algebraic geometry are of this form, such as the Segre embedding of a product of two projective spaces. Given m and n and r < min(m
Determinantal_variety
Topics referred to by the same term
War Segrè chart Segre class Segre classification Segre cubic Segre embedding Segre surface Segre's theorem Segrè–Silberberg effect Zeuthen–Segre invariant
Segre
term "Segre surface" is also occasionally used for various other surfaces, such as a quadric in 3-dimensional projective space (see Segre embedding), or
Segre_surface
Italian mathematician (1863–1924)
Corrado Segre (20 August 1863 – 18 May 1924) was an Italian mathematician who is remembered today as a major contributor to the early development of algebraic
Corrado_Segre
presentation is the open immersion of an open closed subscheme. Segre embedding Regular embedding Mumford, The Red Book of Varieties and Schemes, Section II
Closed_immersion
Mathematical object studied in the field of algebraic geometry
Segre embedding. Furthermore, any variety that admits one embedding into projective space admits many others, for example by composing the embedding with
Algebraic_variety
Algebraic variety in a projective space
spaces is projective. In fact, there is the explicit immersion (called Segre embedding) { P n × P m → P ( n + 1 ) ( m + 1 ) − 1 ( x i , y j ) ↦ x i y j {\displaystyle
Projective_variety
Field of algebraic geometry
defined at those lines through p which are contained in X). The Segre embedding gives an embedding P 1 × P 1 → P 3 {\displaystyle \mathbb {P} ^{1}\times \mathbb
Birational_geometry
geometry, the Segre cubic is a cubic threefold embedded in 4 (or sometimes 5) dimensional projective space, studied by Corrado Segre (1887). The Segre cubic is
Segre_cubic
Generalized object in category theory
In the category of algebraic varieties, the product is given by the Segre embedding. In the category of semi-abelian monoids, the product is given by the
Product_(category_theory)
Quantum states that are not entangled
_{B}(\rho )} is nonzero. Formally, the embedding of a product of states into the product space is given by the Segre embedding. That is, a quantum-mechanical
Separable_state
Disproved conjecture in multilinear algebra on the rank of symmetric tensors
tensors. Symmetric tensor Tensor rank decomposition Waring's problem Segre embedding Veronese variety List of conjectures § Disproved (no longer conjectures)
Comon's_conjecture
Singularities of algebraic varieties
variety is of klt type. For another example, the affine cone Y over the Segre embedding X = P 1 × P 2 ⊂ P 5 {\displaystyle X={\mathbf {P} }^{1}\times {\mathbf
Canonical_singularity
mathematics, the Segre class is a characteristic class used in the study of cones, a generalization of vector bundles. For vector bundles the total Segre class is
Segre_class
Type of algebraic variety
will have more closed sets (except in very simple cases). See also Segre embedding. Mumford 1999, Chapter I.10. Zariski, Oscar (1958). "Introduction to
Complete_variety
Metric on a complex projective space endowed with Hermitian form
metric is separable on the natural product of projective spaces, the Segre embedding. That is, if | ψ ⟩ {\displaystyle \vert \psi \rangle } is a separable
Fubini–Study_metric
Subspace defined by a polynomial of degree 2 over a field
\mathbf {P} ^{1}\times \mathbf {P} ^{1}} , embedded in P 3 {\displaystyle \mathbf {P} ^{3}} by the Segre embedding. The space of lines in the quadric surface
Quadric_(algebraic_geometry)
Italian-American physicist (1901–1954)
Retrieved 6 May 2017. Segrè 1970, p. 7. Bonolis 2001, p. 315. Amaldi 2001, p. 24. Segrè 1970, pp. 11–12. Segrè 1970, pp. 8–10. Segrè 1970, pp. 11–13. Fermi
Enrico_Fermi
Convex polytope whose vertices all have integer Cartesian coordinates
projective space. The toric variety corresponding to a unit cube is the Segre embedding of the n {\displaystyle n} -fold product of the projective line.[citation
Integral_polytope
non-linear conditions for a tensor to satisfy, to be pure. For more see Segre embedding. Tensor algebra In the tensor algebra T(V) of a vector space V, the
Glossary_of_tensor_theory
(Semple & Roth 1949, p.2) Segre 1. Named after either Beniamino Segre or Corrado Segre 2. A Segre variety or Segre embedding is the product of two projective
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
geometry, being known for Segre classification, Segre cubic, Segre embedding, Segre surface, Zeuthen–Segre invariant (first discovered by Zeuthen). Other
List of Italian inventions and discoveries
List_of_Italian_inventions_and_discoveries
(projective geometry) Real projective plane Real projective space Segre embedding of a product of projective spaces Rational normal curve Conics, Pascal's
List of algebraic geometry topics
List_of_algebraic_geometry_topics
the Veronese surface in P5. The only Severi variety with n=4 is the Segre embedding of P2×P2 into P8, found by Scorza in 1908. The only Severi variety
Scorza_variety
Scheme in algebraic geometry
R with respect to I. If Y is the product X × X and the embedding i is the diagonal embedding, then the normal bundle to X in Y is the tangent bundle
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Group of Italian mathematicians who studied birational geometry (c. 1885–1935)
Segre "would bring, either by their own efforts or those of their students, Italian algebraic geometry to full maturity". A one-time student of Segre
Italian school of algebraic geometry
Italian_school_of_algebraic_geometry
Hungarian mathematician
fields. One topic of his research is the collineation groups of ovals and embedding problems for arcs in ovals; these investigations have applications in
Gábor_Korchmáros
Surface in algebraic geometry
It is the only surface with two different rulings. The projective plane Segre surface An intersection of two quadrics, isomorphic to the projective plane
Rational_surface
Concept in algebraic geometry
singularities. They were originally assumed to be embedded in projective space by the anticanonical embedding, which restricts the degree to be at least 3
Del_Pezzo_surface
Circle-like pointset in a geometric plane
(pappian) projective plane of odd order, PG(2, q), then Ω is a conic by Segre's theorem.). This implies that, after a possible change of coordinates, every
Oval_(projective_plane)
Real numbers adjoined with a nil-squaring element
Consider the embedding D → P(D) by z → [z, 1]. Then points [1, n], for n2 = 0, are in P(D) but are not the image of any point under the embedding. P(D) is
Dual_number
Generalized Euclidean space in mathematics
of projective Hilbert spaces is not a projective space. The Segre mapping is an embedding of the Cartesian product of two projective spaces into the projective
Projective_Hilbert_space
On inflection points of spherical curves
points. A closely related theorem of Segre (1968) also concerns simple closed spherical curves, on spheres embedded into three-dimensional space. If, for
Tennis_ball_theorem
Problem in algebraic geometry
the use of the Segre class of a normal cone to an intersection). A generalization to a situation where the assumption on regular embedding is weakened is
Residual_intersection
American theoretical physicist (1904–1967)
critical about the ancient Hindu mythological stories and the metaphysics embedded in them. In one conversation with David Hawkins before the war, while talking
J._Robert_Oppenheimer
Geometric concept of a 2D space with "points at infinity" adjoined
The embedding of K2 into KP2 given above is not unique. Each embedding produces its own notion of points at infinity. For example, the embedding ( x 1
Projective_plane
American singer and actor (1935–1977)
Clarke 2006, pp. 77, 80. Harrison 1992, pp. 159–160. Harrison 2016, p. 10. Segré 2002. New York Times 2002. Bono 2010, "Elvis". Marcus 1982, pp. 141–142
Elvis_Presley
Segre surfaces, intersections of two quadrics in projective 4-space Unirational surfaces of characteristic 0 Veronese surface, the Veronese embedding
List of complex and algebraic surfaces
List_of_complex_and_algebraic_surfaces
Archived from the original (PDF) on 18 November 2025. Retrieved 7 March 2025. Segre, P. S.; Potvin, J; Cade, D. E.; Calambokidis, J; Di Clemente , J; Fish,
Fastest_animals
Projective construction in ring theory
considered an extension of the ring A since it contains a copy of A due to the embedding E : a → U[a, 1]. The multiplicative inverse mapping u → 1/u, ordinarily
Projective_line_over_a_ring
Province of Spain
d'Ivars i Vila-sana pool and the Aiguabarreig (confluence) of the rivers Segre, Cinca and Ebro. On 6 January 2021, in Tuc de la Llança, Spain's absolute
Province_of_Lleida
Type of commutative ring in mathematics
dimension at least 2, then Spec R minus its closed point is connected. The Segre product of two Cohen–Macaulay rings need not be Cohen–Macaulay. One meaning
Cohen–Macaulay_ring
Historic folk art site in Los Angeles, California
Watts: Art, Migrations, Development. Fordham University Press. p. 415. Segre, Claudio (2014). "Letter to the CSTRW re: Visit in Martinez, California
Watts_Towers
Italian-born American mathematician (1923–2023)
of the Order of Merit of the Italian Republic. Calabi married Giuliana Segre in 1952, with whom he had a son and a daughter. He died on September 25
Eugenio_Calabi
Austrian physicist (1887–1961)
(2021). Helgoland: Making Sense of the Quantum Revolution. Translated by Segre, Erica; Carnell, Simon. New York: Penguin. p. 20. ISBN 978-0-593-32888-0
Erwin_Schrödinger
Algebraic surface defined by a cubic polynomial
If X(k) is nonempty, then X is at least unirational over k, by Beniamino Segre and János Kollár. For k infinite, unirationality implies that the set of
Cubic_surface
Saudi journalist and dissident (1958–2018)
notches—based on his ties to the Muslim Brotherhood, and his role as an embedded journalist who covered Osama bin Laden. ... The campaign to discredit Khashoggi
Jamal_Khashoggi
Book publisher
illustrations by Trina Robbins) Tales of Tongue Fu (1981) Pitigrilli (Dino Segre). Cocaine (1974) — reissue of book originally published in 1933 by Greenberg
And/Or_Press
American theoretical physicist (1904–1968)
Roll, P. G., and Wilkinson, T. D. (1965), Astrophysical Journal, 142, 414 Segrè, Gino (March 30, 2000). "The Big Bang and the genetic code". Nature. 404
George_Gamow
Mining practices in ancient Rome
mine stream beds. An example of this has been excavated from a site on the Segre River, six miles from the Roman city of Iulia Livica (present-day Llívia)
Mining_in_ancient_Rome
Serbian scientist and academic
July 2009. Retrieved 2023-04-16. "Argonne scientists Rajh, Soderholm and Segre named AAAS Fellows". EurekAlert!. Retrieved 2023-04-16. Sun, Lei; Yang,
Tijana_Rajh
Theorem in projective geometry
ISBN 978-0-486-78994-1 Bamberg, John; Penttila, Tim (2015), "Completing Segre's proof of Wedderburn's little theorem", Bulletin of the London Mathematical
Desargues's_theorem
Artificial whitewater course in Pau, France
course a natural appearance, similar to that of the nearby Parc Olímpic del Segre on the Spanish side of the mountains. The moveable plastic bollards common
Pau-Pyrénées Whitewater Stadium
Pau-Pyrénées_Whitewater_Stadium
Jewish diaspora of Spain and Portugal
Ktav Publishing House Inc. (1971) Segrè, Emilio (1993). A Mind Always in Motion: the Autobiography of Emilio Segrè. Berkeley, California: University of
Sephardic_Jews
Life arising from non-living matter
Science. Archived from the original on 26 June 2015. Retrieved 26 June 2015. Segré, Daniel; Ben-Eli, Dafna; Deamer, David W.; Lancet, Doron (February 2001)
Abiogenesis
Swiss-French politician and writer (1767–1830)
Il filosofo fondatore del liberalismo fu un faro per il massone Bruno Segre" (in Italian). Grand Orient of Italy. 7 February 2024. Location: in division
Benjamin_Constant
Set of lines described by homogeneous polynomial equations
^{2}\mathbb {R} ^{4})} via exterior product. Note that during the projective embedding, we get lines that does not exist R 3 {\displaystyle \mathbb {R} ^{3}}
Line_complex
Anarchist military unit in the Spanish civil war
managed to stabilise the front at the Segre river, where they took part in the subsequent Battle of the Segre. The former Durruti Column was then taken
Durruti_Column
Characteristic classes of vector bundles
^{2}E)=1+4c_{1}+5c_{1}^{2}+5c_{2}+2c_{1}^{3}+11c_{1}c_{2}+7c_{3}.} (cf. Segre class#Example 2.) We can use these abstract properties to compute the rest
Chern_class
Italian politician and officer (1838–1904)
returned to Modena in 1873. In 1877, Giuseppe Ottolenghi married Elisa Lea Segre in Turin. That year, he became the 2nd territorial division's Chief of Staff
Giuseppe_Ottolenghi
pp. 187–196. doi:10.1007/978-3-642-55764-4_8. ISBN 978-3-642-62817-7. Segre, Emilio — Spontaneous Fission p.13 "From this we deduce a spontaneous fission
Timeline of historic inventions
Timeline_of_historic_inventions
Mathematical functions of split-complex numbers
Émile Borel’s geometry" so as to underwrite its motivation. In 1892 Corrado Segre recalled the tessarine algebra as bicomplex numbers. Naturally the subalgebra
Motor_variable
Medical specialty
of Technetium-99m. It was first discovered in 1937 by C. Perrier and E. Segre as an artificial element to fill space number 43 in the Periodic Table.
Nuclear_medicine
end.[citation needed] At Los Alamos, it was found in April 1944 by Emilio Segrè that the proposed Thin Man Gun assembly type bomb would not work for plutonium
Nuclear_weapon_design
Laboratory Berkeley, California, and Oakland, California, US
during the Bevatron's first full year of operation, Physicists Emilio Segrè and Owen Chamberlain won the competition to observe the antiprotons for
Lawrence Berkeley National Laboratory
Lawrence_Berkeley_National_Laboratory
for "discoveries in the chemistry of the transuranium elements" Emilio G. Segrè – professor emeritus of Physics; Nobel laureate (1959, physics) for the
List of University of California, Berkeley faculty
List_of_University_of_California,_Berkeley_faculty
head of the Theoretical Division. In April 1944 it was found by Emilio Segrè that the plutonium-239 produced by the Hanford reactors had too high a level
History_of_nuclear_weapons
Type of geometry
end of the century, the Italian school of algebraic geometry (Enriques, Segre, Severi) broke out of the traditional subject matter into an area demanding
Projective_geometry
Buildings in Havana , Cuba
45 Loomis, Revolution of Forms, p.116 Loomis, Revolution of Forms, p.113 Segre, Diez Años de Arquitectura Revolucionaria en Cuba, p. 87 Loomis, Revolution
National_Art_Schools_(Cuba)
Species of mammal
doi:10.1098/rsbl.2014.0175. PMC 4013705. PMID 24759372. Gough, William T.; Segre, Paolo S.; Bierlich, K. C.; Cade, David E.; Potvin, Jean; Fish, Frank E
Antarctic_minke_whale
Cuban public research university
Alegret Mario Coyula Cowley José Bienvenido Martínez Rodríguez Roberto Segré Pando Vitervo O´Reilly Díaz José Altshuler Gutber Jorge Acevedo Catá Sixto
Polytechnic José Antonio Echeverría
Polytechnic_José_Antonio_Echeverría
Australian scientist and global warming activist
International and Development Studies in Geneva, Switzerland, as the Fondation Segré Distinguished Visiting Professor. In 1980, Flannery discovered an Allosaurid
Tim_Flannery
Blaise Pascal, Forbach Lycée Blaise Pascal, Châteauroux Lycée Blaise Pascal, Segré Lycée Blaise Pascal, Colmar Lycée Blaise Pascal, Brie-Comte-Robert Lycée
List_of_schools_in_France
Italian poet and diplomat (1604–1675)
Vittoria Farnese Duchi di Modana.Epitalamio del Sig. Girolamo Gratiani Segre-tario di S.A. Serenissima. Sestine, Modena, Cassiani, 1648 in 4° Il Conquisto
Girolamo_Graziani
Italian teacher, writer and partisan (1925–1996)
Turin. Held there for two months, Beccaria shared a prison cell with Anna Segre Levi, the grandmother of her fellow partisan Isacco Levi [it]. On 27 June
Lidia_Beccaria_Rolfi
which correspond to the 3 Darboux tangents (for the cusps), and the 3 Segre tangents of the surface at x {\displaystyle x} . The 3 Darboux tangents
Affine_differential_geometry
European regional geology
eastern domain reaching from the Mediterranean to the Segre River, a central domain extending from the Segre River to the Pamplona Fault, and a western domain
Geology_of_the_Pyrenees
Physics facility at CERN
stable an isotope is. Nuclides can be visually represented on a table (Segré chart or table of nuclides) where the proton number is plotted against the
ISOLDE
American computer scientist (1924–2013)
America".{{cite web}}: CS1 maint: deprecated archival service (link) "Emilio Segre Visual Archives, Gallery of Member Society Presidents". "IEEE Global History
Kenneth_N._Stevens
SEGRE EMBEDDING
SEGRE EMBEDDING
Boy/Male
American, British, English, Swedish
Sea Warrior; Seaman; Sea Fighter
Surname or Lastname
English and French
English and French : nickname for a wise man, from Middle English, Old French sage ‘learned’, ‘sensible’, from Latin sagus ‘prophetic’, akin to sagax ‘sharp’, ‘perceptive’.Irish : variant of Savage, via the Gaelicized form Sabhaois.German : habitational name from a place near Oldenburg, so named from an old word, sege ‘sedge’, ‘reed’.
Boy/Male
English
Seaman.
Surname or Lastname
English
English : occupational name for someone who earned his living by sawing wood, Middle English saghier, an agent derivative of sagh(en) ‘to saw’.Americanized form of some like-sounding Jewish surname or a translation of Seger.
Surname or Lastname
Dutch
Dutch : from the Germanic personal name Sigiheri, a compound of sigi ‘victory’ + heri ‘army’.English : variant spelling of Seager.Jewish (Ashkenazic) : occupational name from Yiddish zeger ‘sawyer’ (see Sager).
Male
French
French form of Latin Sergius, possibly SERGE means "sergeant."Â
Boy/Male
British, Danish, Dutch, English, French, German, Hindu, Indian, Latin, Netherlands, Swiss
Form of Sergio; Attendant
Boy/Male
Latin Russian
Attendant. Also a: Protector; shepherd.
Surname or Lastname
English
English : from the Middle English personal name Saher or Seir. This is probably a Norman introduction of the Continental Germanic personal name Sigiheri, composed of the elements sigi ‘victory’ + heri ‘army’. However, it could also represent a Middle English survival of an unrecorded Old English name, SÇ£here, composed of the elements sÇ£ ‘sea’ + here ‘army’.English : occupational name, from Middle English saghier (see Sawyer) or Old French seieor.English : occupational name for a professional reciter, from an agent derivative of Middle English say(en), sey(en) ‘to say’.English : from a reduced form of Middle English assayer, an agent derivative of assay ‘trial’, ‘test’, Old French essay (from Late Latin exagium, a derivative of exagminÄre ‘to weigh’), hence an occupational name for an assayer of metals or a taster of food.English : occupational name for a maker or seller of say, a type of cloth, from Middle English say + the agent suffix -er. See also Say.Welsh : occupational name from Welsh saer ‘carpenter’ or from saer maen ‘stonecutter’, i.e. mason.French : occupational name for a reaper or mower, from an agent derivative of Old French seer ‘to cut’ (Latin secare).Dutch : occupational name for a weaver of serge, from an agent derivative of saai ‘serge’.Dutch : occupational name from zaaier ‘sower’.
SEGRE EMBEDDING
SEGRE EMBEDDING
Girl/Female
Tamil
Dark, Fog, Flawed gold, Perfumed, Earth, Another name for Durga perfumed
Surname or Lastname
English
English : unexplained. Probably a metonymic occupational name for a venison butcher or sausage maker, from Middle English umbels, numbels ‘offal’ (of a deer), earlier ‘loin or haunch’ (of a deer), a word of Old French origin.
Boy/Male
Muslim/Islamic
Light splendour
Boy/Male
Tamil
King of warriors
Female
German
German and Swiss short form of Old High German Adalheid, ALEIT means "noble sort."
Boy/Male
Muslim
Prince
Surname or Lastname
English (Midlands)
English (Midlands) : habitational name from any of various places, for example in Herefordshire. Nottinghamshire, Shropshire, and Staffordshire, so called from Old English (ge)hæg ‘enclosure’ + wudu ‘wood’. It was a common practice in the Middle Ages for areas of woodland to be fenced off as hunting grounds for the nobility. This name may have been confused in some cases with Hayward and perhaps also with the name Hogwood (of uncertain origin, possibly a habitational name from a minor place).
Girl/Female
Muslim/Islamic
Contended
Boy/Male
Tamil
Sada Shiv | ஸதாஷிவ
Pure, Eternally pure
Girl/Female
Arabic, Muslim
Winner; Achiever; A Boon; Gift; Acquirer
SEGRE EMBEDDING
SEGRE EMBEDDING
SEGRE EMBEDDING
SEGRE EMBEDDING
SEGRE EMBEDDING
a.
Alt. of Egre
a.
Dry; withered. Same as Sear.
a.
Alt. of Sere
n.
A secret.
a.
[OE. seer, AS. sear (assumed) fr. searian to wither; akin to D. zoor dry, LG. soor, OHG. sor/n to to wither, Gr. a"y`ein to parch, to dry, Skr. /ush (for sush) to dry, to wither, Zend hush to dry. Ã152. Cf. Austere, Sorrel, a.] Dry; withered; no longer green; -- applied to leaves.
n.
A kind of coarse serge.
n.
A woolen twilled stuff, much used as material for clothing for both sexes.
n.
Claw; talon.
a. & n.
See Eager, and Eagre.
n.
The hedge sparrow.
n.
The act of embedding, or the state of being embedded.
n.
The time when there no sap in the trees; the winter season.
p. pr. & vb. n.
of Embed
n.
A delicate kind of serge, or woolen cloth.
a.
Sharp; bitter; acid; sour.
n.
A large wax candle used in the ceremonies of various churches.
a.
Secret; secretive; faithful to a secret.