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Longer titles found: Intersection theory (disambiguation) (view)

searching for Intersection theory 76 found (151 total)

William Fulton (mathematician) (454 words) [view diff] case mismatch in snippet view article

received the Steele Prize for mathematical exposition for his text Intersection Theory. Fulton is a member of the United States National Academy of Sciences

Hilbert's fifteenth problem (971 words) [view diff] exact match in snippet view article find links to article

enumerative calculus on a rigorous foundation. Schubert calculus is the intersection theory of the 19th century, together with applications to enumerative geometry

Diagonal morphism (algebraic geometry) (697 words) [view diff] no match in snippet view article

In algebraic geometry, given a morphism of schemes p : X → S {\displaystyle p:X\to S} , the diagonal morphism δ : X → X × S X {\displaystyle \delta :X\to

Moduli of algebraic curves (3,668 words) [view diff] exact match in snippet view article find links to article

Dimitri (2012). "An introduction to moduli spaces of curves and their intersection theory". In Papadopoulos, Athanase (ed.). Handbook of Teichmüller Theory

Ragni Piene (303 words) [view diff] exact match in snippet view article find links to article

algebraic geometry, with particular interest in enumerative results and intersection theory. After a bachelor's degree from the University of Oslo in 1969 and

Perfect obstruction theory (596 words) [view diff] exact match in snippet view article find links to article

Kai Behrend and Barbara Fantechi (1997) for an application to the intersection theory on moduli stacks; in particular, to define a virtual fundamental

Arithmetic surface (1,109 words) [view diff] no match in snippet view article find links to article

In mathematics, an arithmetic surface over a Dedekind domain R with fraction field K {\displaystyle K} is a geometric object having one conventional dimension

Xinyi Yuan (603 words) [view diff] exact match in snippet view article find links to article

automorphic forms. In particular, his work focuses on arithmetic intersection theory, algebraic dynamics, Diophantine equations and special values of

Susan Jane Colley (449 words) [view diff] exact match in snippet view article find links to article

algebraic geometry and related areas, particularly enumerative geometry, intersection theory, and multiple-point theory.[citation needed]. Colley joined the faculty

Localized Chern class (766 words) [view diff] exact match in snippet view article find links to article

a single vector bundle. It was originally introduced in Fulton's intersection theory, as an algebraic counterpart of the similar construction in algebraic

Henri Gillet (473 words) [view diff] case mismatch in snippet view article find links to article

David Mumford with thesis Applications of Algebraic K-Theory to Intersection Theory. As a postdoc he was an instructor and from 1981 an assistant professor

Law of continuity (381 words) [view diff] exact match in snippet view article find links to article

le terrain." (1865), pp. 13–14 Fulton, William. Introduction to intersection theory in algebraic geometry. No. 54. American Mathematical Soc., 1984,

Newton–Okounkov body (333 words) [view diff] exact match in snippet view article find links to article

"Newton–Okounkov bodies, semigroups of integral points, graded algebras and intersection theory", Annals of Mathematics, 176 (2): 925–978, arXiv:0904.3350, doi:10

Robert Miller Hardt (397 words) [view diff] case mismatch in snippet view article find links to article

from Brown University under Herbert Federer with thesis Slicing and Intersection Theory for Chains Associated with Real Analytic Varieties. In 1971 he became

Chow group of a stack (1,446 words) [view diff] case mismatch in snippet view article find links to article

(precursor of motivic homologies) of algebraic stacks, see Roy Joshua's Intersection Theory on Stacks:I and II. [1] The calculations depend on definitions. Thus

Witten conjecture (1,167 words) [view diff] exact match in snippet view article find links to article

1090/S0894-0347-07-00566-8, ISSN 0894-0347, MR 2328716 Kontsevich, Maxim (1992), "Intersection theory on the moduli space of curves and the matrix Airy function", Communications

Polar curve (1,204 words) [view diff] exact match in snippet view article find links to article

Foster, and Figgis. pp. 49ff. Section 1.2 of Fulton, Introduction to intersection theory in algebraic geometry, CBMS, AMS, 1984. Ivanov, A.B. (2001) [1994]

Bivariant theory (433 words) [view diff] case mismatch in snippet view article find links to article

intersection Chow cohomology for GIT quotients Fulton, William (1998), Intersection Theory, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98549-7, MR 1644323

Grothendieck–Riemann–Roch theorem (2,779 words) [view diff] case mismatch in snippet view article find links to article

doi:10.1007/978-1-4757-9286-7_12. ISBN 978-0-8176-3133-8. Fulton. Intersection Theory. p. 297. Knudsen, Finn F. (1983-12-01). "The projectivity of the

Riemann–Roch-type theorem (663 words) [view diff] exact match in snippet view article find links to article

Deligne-Mumford stacks". arXiv:1205.4742 [math.AG]. Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Linear system of divisors (2,898 words) [view diff] exact match in snippet view article find links to article

{\displaystyle C} , and so intersects it properly. Basic facts from intersection theory then tell us that we must have | D | ⋅ C ≥ 0 {\displaystyle |D|\cdot

Equivariant cohomology (1,813 words) [view diff] exact match in snippet view article find links to article

1016/0040-9383(84)90021-1 Brion, M. (1998). "Equivariant cohomology and equivariant intersection theory" (PDF). Representation Theories and Algebraic Geometry. Nato ASI

Suren Arakelov (245 words) [view diff] exact match in snippet view article find links to article

1277–1302. doi:10.1070/IM1971v005n06ABEH001235. S. J. Arakelov (1974). "Intersection theory of divisors on an arithmetic surface". Mathematics of the USSR-Izvestiya

Angelo Vistoli (62 words) [view diff] exact match in snippet view article find links to article

of his papers is on Intersection theory on algebraic stacks and on their moduli spaces. Vistoli, Angelo (1989). "Intersection theory on algebraic stacks

Cone (algebraic geometry) (1,346 words) [view diff] case mismatch in snippet view article

Behrend & Fantechi 1997, § 1. Fantechi, Barbara, An introduction to Intersection Theory (PDF) Behrend, K.; Fantechi, B. (1997-03-01). "The intrinsic normal

Dual curve (1,751 words) [view diff] case mismatch in snippet view article find links to article

Reciprocation", Plane Algebraic Curves, Oxford Fulton, William (1998), Intersection Theory, Springer-Verlag, ISBN 978-3-540-62046-4 Walker, R. J. (1950), Algebraic

Groupoid object (839 words) [view diff] exact match in snippet view article find links to article

original on 2008-05-05, retrieved 2014-02-11 Gillet, H. (1984), "Intersection theory on algebraic stacks and Q-varieties" (PDF), Proceedings of the Luminy

Todd class (1,162 words) [view diff] case mismatch in snippet view article find links to article

{ch} (F)} its Chern character. Genus of a multiplicative sequence Intersection Theory Class 18, by Ravi Vakil Todd, J. A. (1937), "The Arithmetical Invariants

Borel–Moore homology (2,660 words) [view diff] exact match in snippet view article find links to article

Iversen. Cohomology of sheaves. Equation IX.2.1. William Fulton. Intersection theory. Lemma 19.1.1. Goresky, Mark, Primer on Sheaves (PDF), archived from

Degree of an algebraic variety (506 words) [view diff] exact match in snippet view article find links to article

polynomial F defining it (granted, in case F has repeated factors, that intersection theory is used to count intersections with multiplicity, as in Bézout's

Angus Macintyre (889 words) [view diff] exact match in snippet view article find links to article

automorphisms. Macintyre developed a first-order model theory for intersection theory and showed connections to Alexander Grothendieck's standard conjectures

Glossary of algebraic geometry (12,488 words) [view diff] exact match in snippet view article find links to article

is the tangent sheaf, is called the Euler sequence. equivariant intersection theory See Chapter II of http://www.math.ubc.ca/~behrend/cet.pdf F-regular

Ruled join (186 words) [view diff] exact match in snippet view article find links to article

Science & Business Media. ISBN 9780387751559. Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Simplicial presheaf (821 words) [view diff] case mismatch in snippet view article find links to article

Non-abelian cohomology" (PDF), Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory, MSRI Jardine 2007, §1 Konrad Voelkel

Dimension of a scheme (1,254 words) [view diff] exact match in snippet view article find links to article

Ncatlab". Ncatlab. Retrieved 8 June 2022. William Fulton. (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Projective bundle (1,373 words) [view diff] exact match in snippet view article find links to article

ISSN 0075-4102, MR 0691957, S2CID 122557310 Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Ribbon graph (603 words) [view diff] exact match in snippet view article find links to article

Springer, p. 267, ISBN 9780817647896 Dijkgraaf, Robbert (1992), "Intersection theory, integrable hierarchies and topological field theory", in Fröhlich

Édouard Brézin (1,267 words) [view diff] case mismatch in snippet view article find links to article

1016/0550-3213(93)90121-5. ISSN 0550-3213. Brézin, E.; Hikami, S. (2008-05-29). "Intersection Theory from Duality and Replica". Communications in Mathematical Physics

Flag bundle (252 words) [view diff] exact match in snippet view article find links to article

subsheaf of E i + 1 . {\displaystyle E_{i+1}.} William Fulton. (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Zeuthen–Segre invariant (309 words) [view diff] exact match in snippet view article find links to article

ISBN 978-1-108-01782-4, MR 2850141 Reprinted 2010 Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series

Nessim Sibony (506 words) [view diff] exact match in snippet view article find links to article

with Tien-Cuong Dinh Super-potentials of positive closed currents, intersection theory and dynamics. Acta Math. 203 (2009), no. 1, 1–82. with Tien-Cuong

Serre's inequality on height (452 words) [view diff] exact match in snippet view article find links to article

1998, § 20.4. Serre 2000, Ch. V, § B. 6. Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Maryam Mirzakhani (4,265 words) [view diff] exact match in snippet view article find links to article

August 2014. Mirzakhani, Maryam (2007). "Weil-Petersson volumes and intersection theory on the moduli space of curves" (PDF). Journal of the American Mathematical

Donaldson–Thomas theory (1,161 words) [view diff] exact match in snippet view article find links to article

moduli stack of all such maps admits a virtual fundamental class, and intersection theory on this stack yields numerical invariants that can often contain

Séminaire de Géométrie Algébrique du Bois Marie (1,807 words) [view diff] exact match in snippet view article find links to article

Théorie des intersections et théorème de Riemann-Roch, 1966–1967 (Intersection theory and the Riemann–Roch theorem), Lecture Notes in Mathematics 225,

AWM–Microsoft Research Prize in Algebra and Number Theory (484 words) [view diff] exact match in snippet view article find links to article

conjecture, a conjecture of Ogus on algebraicity of cycles, arithmetic intersection theory, and the unbounded denominators conjecture of Atkin and Swinnerton-Dyer"

Algebraic cycle (1,472 words) [view diff] exact match in snippet view article find links to article

187, February 2014, ISBN 9780691160504. Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. Third series.

Quotient space of an algebraic stack (232 words) [view diff] exact match in snippet view article find links to article

set of all open subsets of | F | {\displaystyle |F|} . H. Gillet, Intersection theory on algebraic stacks and Q-varieties, J. Pure Appl. Algebra 34 (1984)

Algebraic geometry of projective spaces (1,406 words) [view diff] exact match in snippet view article find links to article

As Fano varieties, the projective spaces are ruled varieties. The intersection theory of curves in the projective plane yields the Bézout theorem. Scheme

Leroy P. Steele Prize (2,236 words) [view diff] case mismatch in snippet view article find links to article

(Springer, 1985, 1989, 1991, and 1994). 1996 William Fulton for his book Intersection Theory, Springer-Verlag, "Ergebnisse series," 1984. 1995 Jean-Pierre Serre

Jean-Pierre Demailly (1,295 words) [view diff] exact match in snippet view article find links to article

Jean-Pierre (1992), "Regularization of closed positive currents and intersection theory" (PDF), Journal of Algebraic Geometry, 1: 361–409, MR 1158622 Demailly

Mikhael Gromov (mathematician) (3,749 words) [view diff] exact match in snippet view article

(1981), no. 1, 1–24. Witten, Edward Two-dimensional gravity and intersection theory on moduli space. Surveys in differential geometry (Cambridge, MA

Polymake (1,306 words) [view diff] exact match in snippet view article find links to article

geometric and combinatorial problems on linear spaces a-tint: tropical intersection theory azove: enumeration of 0/1 vertices barvinok: counting of integer

Bundle of principal parts (348 words) [view diff] exact match in snippet view article find links to article

SGA 6 1971, Exp II, Appendix II 1.2.4. Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Moduli of abelian varieties (761 words) [view diff] exact match in snippet view article find links to article

ISBN 978-1-4757-9286-7 Level n-structures are used to construct an intersection theory of Deligne–Mumford stacks Schottky problem Siegel modular variety

Dinh Tien-Cuong (585 words) [view diff] exact match in snippet view article find links to article

Sibony, Nessim (2009). "Super-potentials of positive closed currents, intersection theory and dynamics". Acta Mathematica. 203 (1). International Press of

Kleiman's theorem (677 words) [view diff] case mismatch in snippet view article find links to article

Compositio Mathematica, 28: 287–297, MR 0360616 Fulton, William (1998), Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Grassmann bundle (520 words) [view diff] exact match in snippet view article find links to article

Algebraic Geometry, C. U.P., ISBN 978-1107602724 Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Adjunction formula (2,340 words) [view diff] exact match in snippet view article find links to article

Hartshorne, chapter V, example 1.5.2 Gompf, Stipsicz, Theorem 1.4.17 Intersection theory 2nd edition, William Fulton, Springer, ISBN 0-387-98549-2, Example

Morphism of algebraic varieties (4,318 words) [view diff] case mismatch in snippet view article find links to article

Theorems 2, 3. Fulton 1998, Example 18.3.9.. Fulton, William (1998). Intersection Theory. Springer Science. ISBN 978-0-387-98549-7. Harris, Joe (1992). Algebraic

Tian Gang (3,114 words) [view diff] exact match in snippet view article find links to article

(1985), no. 2, 307–347. Witten, Edward. Two-dimensional gravity and intersection theory on moduli space. Surveys in differential geometry (Cambridge, MA

Chern class (7,402 words) [view diff] case mismatch in snippet view article find links to article

2307/1969037, ISSN 0003-486X, JSTOR 1969037 Fulton, W. (29 June 2013). Intersection Theory. Springer Science & Business Media. ISBN 978-3-662-02421-8. Grothendieck

Ring (mathematics) (13,682 words) [view diff] exact match in snippet view article

provides the foundation for characteristic classes of fiber bundles, intersection theory on manifolds and algebraic varieties, Schubert calculus and much

Bloch's higher Chow group (1,235 words) [view diff] exact match in snippet view article find links to article

d_{1}(V)=V(0)-V(\infty )} and this means, by Proposition 1.6. in Fulton’s intersection theory, that the image of d 1 {\displaystyle d_{1}} is precisely the group

Coherent sheaf (6,913 words) [view diff] case mismatch in snippet view article find links to article

1007/978-1-4612-5350-1, ISBN 978-0-387-94268-1, MR 1322960 Fulton, William (1998), Intersection Theory, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1700-8

Blowing up (3,816 words) [view diff] case mismatch in snippet view article find links to article

Infinitely near point Resolution of singularities Fulton, William (1998). Intersection Theory. Springer-Verlag. ISBN 0-387-98549-2. Griffiths, Phillip; Harris

Grassmannian (8,384 words) [view diff] exact match in snippet view article find links to article

space that intersect a given set of points, lines, etc., using the intersection theory of Schubert varieties. Subvarieties of Schubert cells can also be

Madeline Early (463 words) [view diff] exact match in snippet view article find links to article

Acad. Sci. USA 20. 1937: Levin, M.: An extension of the Lefschetz intersection theory. Rev. Cienc. (Univ. Nac. Mayor San Marcos, Lima) 39. Organizational

Koszul complex (5,528 words) [view diff] exact match in snippet view article find links to article

New York: Springer. ISBN 0-387-94268-8. William Fulton (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol

Topological recursion (4,377 words) [view diff] exact match in snippet view article find links to article

locally", JHEP02(2013)143. B. Eynard, Invariants of spectral curves and intersection theory of moduli spaces of complex curves, math-ph: arxiv.1110.2949, Journal

Translation surface (4,595 words) [view diff] exact match in snippet view article find links to article

Sauvaget, Adrien; Zagier, Don Bernhard (2019). "Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials". Inventiones Mathematicae

Glossary of classical algebraic geometry (11,125 words) [view diff] exact match in snippet view article find links to article

equianharmonic cubic is a cubic curve with j-invariant 0 equivalence In intersection theory, a positive-dimensional variety sometimes behaves formally as if

Derived noncommutative algebraic geometry (4,702 words) [view diff] exact match in snippet view article find links to article

{\displaystyle D^{b}(X)} was used extensively in SGA6 to construct an intersection theory with K ( X ) {\displaystyle K(X)} and G r γ K ( X ) ⊗ Q {\displaystyle

Valuation (geometry) (5,978 words) [view diff] exact match in snippet view article

1115–1154, doi:10.1512/iumj.1990.39.39052 Fu, Joseph H. G. (2016), "Intersection theory and the Alesker product", Indiana University Mathematics Journal

Quadric (algebraic geometry) (3,540 words) [view diff] case mismatch in snippet view article

Society, ISBN 978-0-8218-4329-1, MR 2427530 Fulton, William (1998), Intersection Theory, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98549-7, MR 1644323

Differential forms on a Riemann surface (11,053 words) [view diff] exact match in snippet view article find links to article

pp. 79–92 Farkas & Kra 1992, pp. 54–56 Note that more generally intersection theory has also been developed separately within differential topology using