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- {{Short description|Field of algebraic geometry}} ...t|The [[circle]] is birationally equivalent to the [[real line|line]]. One birational map between them is [[stereographic projection]], pictured here.]] ...20 Кб (2928 слов) - 15:40, 9 февраля 2024
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- ...ry]], a '''birational invariant''' is a property that is preserved under [[birational equivalence]]. ...ional invariant''' is a quantity or object that is [[well-defined]] on a [[birational equivalence]] class of [[algebraic varieties]]. In other words, it depends ...2 Кб (220 слов) - 15:40, 9 февраля 2024
- ...ic geometry]], an '''exceptional divisor''' for a [[regular map (algebraic geometry)|regular map]] is a [[regular map of varieties]] which is [[birational]] (that is, it is an isomorphism between open subsets of <math>X</math> and ...2 Кб (317 слов) - 15:50, 5 марта 2024
- In [[algebraic geometry]], a '''contraction morphism''' is a surjective [[projective morphism]] <ma == Birational perspective == ...2 Кб (293 слова) - 10:07, 21 февраля 2024
- ...''D'') consisting of a [[normal variety]] ''X'' and a [[divisor (algebraic geometry)#"Q"-divisors|<math>\mathbb{Q}</math>-divisor]] ''D'' on ''X'' (e.g., [[can ...1=Kollár | first1=János | last2=Mori | first2=Shigefumi | title=Birational geometry of algebraic varieties | publisher=[[Cambridge University Press]] | series= ...1 Кб (94 слова) - 19:07, 27 февраля 2024
- In algebraic geometry, the '''abundance conjecture''' is a conjecture in [[birational geometry]], more precisely in the [[minimal model program]], ...3 Кб (273 слова) - 04:55, 28 декабря 2023
- In [[algebraic geometry]], the '''Barth–Nieto quintic''' is a [[quintic]] [[3-fold]] in 4 (or so ...tle= Higher dimensional birational geometry (Kyoto, 1997)|contribution=The geometry of Siegel modular varieties |last1=Hulek |first1=Klaus |author1-link=Klaus ...2 Кб (245 слов) - 16:25, 6 февраля 2024
- ...|last=Hartshorne|first=Robin|author-link=Robin Hartshorne |title=Algebraic Geometry, Arcata 1974|year=1975|url={{Google books|plainurl=y|id=eICMfNiDdigC|page=7 ===Birational invariance=== ...4 Кб (513 слов) - 17:20, 14 февраля 2024
- ...e are [[homogeneous coordinates]] in the traditional sense of [[projective geometry]]. ==Algebraic geometry== ...3 Кб (447 слов) - 22:57, 20 февраля 2024
- ...(mathematics)|combinatorial invariant]] of importance to the [[birational geometry]] of <math>X</math>. ...<math>C \cdot D = C' \cdot D</math> for every Cartier [[Divisor (algebraic geometry)|divisor]] <math>D</math> on <math>X</math>. Denote the [[real vector space ...6 Кб (940 слов) - 02:22, 21 февраля 2024
- In [[algebraic geometry]], the '''Iitaka dimension''' of a [[line bundle]] ''L'' on an [[algebraic ...etry|birational]] invariant: If {{nowrap|''f'' : ''Y'' → ''X''}} is a birational morphism of varieties, and if ''L'' is a big line bundle on ''X'', then ''f ...7 Кб (1129 слов) - 06:48, 25 марта 2024
- {{Short description|Basic birational invariant}} In [[algebraic geometry]], the '''geometric genus''' is a basic [[birational invariant]] {{math|''p''{{sub|''g''}}}} of [[algebraic varieties]] and [[co ...4 Кб (526 слов) - 05:50, 12 марта 2024
- * [https://arxiv.org/abs/0706.1794 Birational Geometry] {{Wayback|url=https://arxiv.org/abs/0706.1794 |date=20180801190315 }}, 200 * [https://arxiv.org/abs/1104.5035 Topics in Algebraic Geometry] {{Wayback|url=https://arxiv.org/abs/1104.5035 |date=20180801190536 }}, Vor ...8 Кб (631 слово) - 02:52, 5 августа 2023
- ...}}, retrieved 2015-02-11.</ref> His research interests include [[algebraic geometry]] and [[number theory]]. ...introduction-to-algebraic-geometry-0 Review of ''Introduction to Algebraic Geometry''] by P. N. Ruane (June 9, 2008), MAA Reviews, [[Mathematical Association o ...3 Кб (348 слов) - 16:42, 11 февраля 2024
- ...y]] of [[dimension of an algebraic variety|dimension]] two. In the case of geometry over the field of [[complex number]]s, an algebraic surface has complex dim ...Many results were obtained, however, in the [[Italian school of algebraic geometry]], and are up to 100 years old. ...7 Кб (1080 слов) - 18:08, 28 января 2024
- ...uthor1-link=Robin Hartshorne | title=[[Algebraic Geometry (book)|Algebraic Geometry]] | publisher=[[Springer-Verlag]] | series=Graduate Texts in Mathematics | ...author2-link=Shigefumi Mori | author1-link=János Kollár | title=Birational geometry of algebraic varieties | publisher=[[Cambridge University Press]] | series= ...2 Кб (283 слова) - 16:00, 15 февраля 2024
- In mathematics, more specifically in [[algebraic geometry]], the '''Griffiths group''' of a [[projective variety|projective]] [[compl ...1615177.009 |chapter=Nori's Work |title=Hodge Theory and Complex Algebraic Geometry II |year=2003 |pages=215–242 |isbn=9780521802833|first1=Claire|last1=Vois ...3 Кб (366 слов) - 03:31, 17 марта 2024
- * [[Flop (algebraic geometry)]], a birational transformation * Wheel flop, a consequence of some [[bicycle and motorcycle geometry#Wheel flop|bicycle and motorcycle geometries]] ...2 Кб (214 слов) - 08:29, 8 марта 2024
- | fields = Higher-dimensional geometry ...ssor at [[Princeton University]]. Xu is known for his work in [[birational geometry]], the [[minimal model program]], and the [[K-stability of Fano varieties]] ...5 Кб (598 слов) - 12:49, 17 февраля 2024
- ...repant", to indicate that the resolutions have no [[Discrepancy (algebraic geometry)|discrepancy]] in the canonical class. ....</ref> but need not be unique as they can be related by [[flop (algebraic geometry)|flop]]s, and in dimensions greater than 3 they need not exist. ...4 Кб (461 слово) - 08:23, 22 февраля 2024
- ...erspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry|last=Richter-Gebert|first=Jürgen|year=2011|publisher=Springer Science & Bu [[Category:Projective geometry]] ...4 Кб (438 слов) - 05:36, 21 марта 2024
