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that all non-singular quartic threefolds are irrational, though some of them are unirational. Burkhardt quartic Igusa quartic Iskovskih, V. A.; Manin
Quartic_threefold
In mathematics, the Burkhardt quartic is a quartic threefold in 4-dimensional projective space studied by Burkhardt (1890, 1891, 1892), with the maximum
Burkhardt_quartic
minimal models. Algebraic curve Algebraic surface Cubic threefold Quartic threefold Quintic threefold Matsuki, Kenji (2002), Introduction to the Mori program
3-fold
Algebraic variety
intermediate Jacobian. Iskovskih & Manin (1971) showed that all non-singular quartic threefolds are irrational, though some of them are unirational. Artin & Mumford
Rational_variety
Riemannian manifold with SU(n) holonomy
compact simply connected Calabi–Yau manifolds. These can be constructed as quartic surfaces in P 3 {\displaystyle \mathbb {P} ^{3}} , such as the complex
Calabi–Yau_manifold
Surname list
Ludwig Burkhardt (1861–1914), German mathematician Burkhardt quartic, a quartic threefold in 4-dimensional projective space studied by Heinrich Burkhardt
Burkhardt_(surname)
Concept in algebraic geometry
rational, for example cubic 3-folds in P4 (by Clemens - Griffiths) and quartic 3-folds in P4 (by Iskovskikh - Manin). Iskovskih (1977, 1978, 1979) classified
Fano_variety
In algebraic geometry, the Segre cubic is a cubic threefold embedded in 4 (or sometimes 5) dimensional projective space, studied by Corrado Segre (1887)
Segre_cubic
Mathematics concept
conjecture. In 2003, Paul Seidel proved the conjecture in the case of the quartic surface. In 2002 Hausel & Thaddeus (2002) explained SYZ conjecture in the
Homological_mirror_symmetry
cubic threefold Klein four-group Klein geometry Klein graphs Klein's inequality Klein model Klein polyhedron Klein surface Klein quadric Klein quartic Kleinian
List of things named after Felix Klein
List_of_things_named_after_Felix_Klein
Species of bird
status throughout the 20th into the 21st centuries. Historic data shows a threefold increase, roughly, around 1920. However, mortality rates shot up soon
Cooper's_hawk
Type of musical scale
Anthroposophical Music Therapy with Reference to Rudolf Steiner's Model of the Threefold Human Being Archived 2012-04-02 at the Wayback Machine Jeff Burns, Pentatonic
Pentatonic_scale
forms vanish is called the Sylvester pentahedron. Ternary cubic Ternary quartic Invariants of a binary form Clebsch, A. (1861), "Zur Theorie der algebraischer
Quaternary_cubic
Field of algebraic geometry
automorphism group of a smooth quartic 3-fold is equal to its automorphism group, which is finite. In this sense, quartic 3-folds are far from being rational
Birational_geometry
Names of numbers in English
cater: (rare) the face of a die or playing card with four pips quartet quartic or biquadratic the degree of a polynomial is 4 quad (short for quadruple
English_numerals
Russian mathematician (1939–2009)
rationally connected three-dimensional manifolds. The three-dimensional quartic is foundational for modern research in birational geometry. In the 1970s
Vasilii_Iskovskikh
Study of systems of inequalitites
is homeomorphic to a possibly singular affine real algebraic rational threefold 1997 Bierstone and Milman proved a canonical resolution of singularities
Real_algebraic_geometry
adjectives were often used as nouns: for example, "quartic" could also be short for "quartic curve" or "quartic surface". In classical algebraic geometry, all
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
existing regiments, so that the effective strength of the infantry increased threefold between 1793 and 1801. By 1803, the strength of the entire British infantry
British Army during the French Revolutionary and Napoleonic Wars
British_Army_during_the_French_Revolutionary_and_Napoleonic_Wars
instrument the smallest, highest-pitched bell in a set (adj.) has three parts; threefold triangle any three-sided figure a triangular object used in technical
List of words having different meanings in American and British English (M–Z)
List_of_words_having_different_meanings_in_American_and_British_English_(M–Z)
forest fires, totaling 30,901 individual fires, were reported, marking a threefold increase compared to the previous year. However, the number of fires decreased
Deforestation of the Amazon rainforest
Deforestation_of_the_Amazon_rainforest
American mathematician
Kiran S.; Sutherand, Andrew V. (2021). "Sato–Tate groups of abelian threefolds: A preview of the classification". Arithmetic, Geometry, Cryptography
Andrew Sutherland (mathematician)
Andrew_Sutherland_(mathematician)
of the future enshrinement of these relics by King Dutugemunu. The two quarts of relics that were enshrined in the village Rāmagāma were, according to
Relics_associated_with_Buddha
Toshiki; Mukai, Shigeru (2020). "Stability and Einstein-Kähler Metric of a Quartic del Pezzo Surface". Einstein metrics and Yang-Mills connections. pp. 133–160
K-stability_of_Fano_varieties
the man shall take oath, against his wife they shall not draw nigh. Threefold the price of a virgin the ravisher shall pay. The father shall do with
Timeline of women's legal rights (other than voting) before the 19th century
Timeline_of_women's_legal_rights_(other_than_voting)_before_the_19th_century
Thirteenth of twenty-eight Buddhas
and the petals were 12 cubits or 18 feet. When his right foot lands, 2.25 quarts of pollen were produced. When he took another step, the previous lotus disappeared
Padumuttara_Buddha
Jewish ritual and prayer service
one greets another person three times, and returns home in good cheer. Threefold repetition, reversal of Ex. 15:16, "A good omen on all Israel", and "Amen
Kiddush_levana
QUARTIC THREEFOLD
QUARTIC THREEFOLD
Male
English
Anglicized form of Hebrew Yamiyn, JAMIN means "the right hand," "the right side," or "the right quarter." In the bible, this is the name of several characters, including a son of Simeon.
Surname or Lastname
English (mainly East Anglia)
English (mainly East Anglia) : metonymic occupational name for someone who dealt in weights and measures, for example a grain factor, from Middle English pekke ‘peck’ (an old measure of dry goods equivalent to eight quarts or a quarter of a bushel).English : variant of Peak 1.Irish : variant of Peak 2.South German : variant of Beck.North German and Dutch : metonymic occupational name for someone who prepared or sold pitch, from Middle Low German pek, Middle Dutch pec, pic.Dutch : from Middle Dutch pec, pick ‘desperate straits’, hence a nickname for a person in difficult circumstances or perhaps for someone with a gloomy disposition.
Female
Chinese
blue glitter, or blue quartz.
Boy/Male
Latin Biblical
Born fourth.
Biblical
fourth
Male
English
 English form of Spanish Gaspar, JASPER means "treasure bearer." Early Christians assigned names to the three Magi ("wise men from the east") who visited the baby Jesus. They are mentioned but not named in the bible; Jasper is one of them, the other two are Balthasar and Melchior. Jasper is also the name of an opaque cryptocrystalline variety of quartz that may be red, yellow or brown in color. Also spelled Casper and Kasper.
Girl/Female
Bengali, Hindu, Indian, Tamil
Peaceful; Born in the First Quarter of an Astrological Day
Female
English
English name derived from Latin candida, CANDIDA means "clear and white,"Â like pure quartz rather than the whiteness of milk. George Bernard Shaw used this name for his 1895 play of the same name.
Male
Hebrew
Variant spelling of Hebrew Yamiyn, YAMIN means "the right hand," "the right side," or "the right quarter."
Girl/Female
Tamil
The Goddess who is quarter of the world
Boy/Male
Scottish
Proud.
Boy/Male
Spanish
Born fourth.
Girl/Female
Assamese, Greek, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu, Traditional
Polite; Born in the First Quarter of the Day
Girl/Female
Muslim
Quarter Moon
Girl/Female
Biblical
Fourth.
Surname or Lastname
English
English : variant of Sale 1.English : metonymic occupational name for a maker of seals or signet rings, from Middle English, Old French seel ‘seal’ (Latin sigillum).English : metonymic occupational name for a maker of saddles, from Old French seele ‘saddle’.English : nickname for a plump or ungainly person, from Middle English sele ‘seal’ (the aquatic mammal).Americanized form (translation) of Jewish Siegel.
Girl/Female
Arabic, Hindu, Indian, Muslim
Quarter Moon
Male
Hebrew
(יָמִין) Hebrew name YAMIYN means "the right hand," "the right side," or "the right quarter." In the bible, this is the name of several characters, including a son of Simeon. The English form is Jamin.
Surname or Lastname
English (West Midlands)
English (West Midlands) : patronymic from Firkin, a metonymic occupational name for a maker of casks and barrels, or a nickname for a stout man or a heavy drinker, from Middle English fer(de)kyn ‘small cask’ (probably from a Middle Dutch diminutive of vierde ‘fourth (part)’; as a measure of capacity a firkin was reckoned as a quarter of a barrel).
Girl/Female
Hindu
The Goddess who is quarter of the world
QUARTIC THREEFOLD
QUARTIC THREEFOLD
Boy/Male
Australian, Irish
Surname
Boy/Male
Tamil
Abhisyanta | அபிஸà¯à®¯à®¨à®¤à®¾
Splendid (A son of kuru and Vahini)
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : habitational name from any of various places called Woodhall, for example in Hertfordshire, Lincolnshire, North Yorkshire, and Lothian, so named from Old English wudu ‘wood’ + heall ‘hall’.
Boy/Male
Indian, Sanskrit, Telugu
Sign
Girl/Female
Hindu, Indian, Marathi
Pious; Pure; The River Ganga
Girl/Female
Indian
Flower; Blossom
Male
English
Variant spelling of English Gray, GREY means "grey."
Surname or Lastname
English
English : unexplained; perhaps a variant of Hillock in which the vowels have been transposed.
Boy/Male
Tamil
Umamaheshwar | உமாஂமாஂஹேஷà¯à®µà®°Â
The son of Lord Shiva
Male
Hebrew
(רָפָ×) Hebrew name RAPHA means "feeble, flaccid, weak," i.e. "a shade" living in Hades, void of blood and animal life; therefore weak and languid like a sick person, but still able to think. In the bible, this is the name of a son of Benjamin and a descendent of Saul.
QUARTIC THREEFOLD
QUARTIC THREEFOLD
QUARTIC THREEFOLD
QUARTIC THREEFOLD
QUARTIC THREEFOLD
n.
A quantic of the fifth degree. See Quantic.
n.
One of four equal parts into which anything is divided, or is regarded as divided; a fourth part or portion; as, a quarter of a dollar, of a pound, of a yard, of an hour, etc.
n.
The fourth of a ton in weight, or eight bushels of grain; as, a quarter of wheat; also, the fourth part of a chaldron of coal.
n.
A vessel or measure containing a quart.
n.
The after-part of a vessel's side, generally corresponding in extent with the quarter-deck; also, the part of the yardarm outside of the slings.
a.
Having four leaves to the sheet; of the form or size of a quarto.
n.
The fourth part; a quarter; hence, a region of the earth.
a.
Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
a.
Of or pertaining to the fourth; occurring every fourth day, reckoning inclusively; as, a quartan ague, or fever.
a.
Pertaining to water; growing in water; living in, swimming in, or frequenting the margins of waters; as, aquatic plants and fowls.
n.
A quantic of the second degree. See Quantic.
n.
An aquatic animal or plant.
pl.
of Quarto
n.
A curve or surface whose equation is of the fourth degree in the variables.
n.
A quantic of the fourth degree. See Quantic.
n.
A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as they contain two, three, four, or more variables; thus, the quantic / is a binary cubic.
v. t.
A division of a town, city, or county; a particular district; a locality; as, the Latin quarter in Paris.
v. t.
The fourth part of the distance from one point of the compass to another, being the fourth part of 11¡ 15', that is, about 2¡ 49'; -- called also quarter point.
n.
The fourth part of the moon's period, or monthly revolution; as, the first quarter after the change or full.