Rational curves on hypersurfaces
Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 848, 34 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl EuDML
Pandharipande, Rahul. Rational curves on hypersurfaces, dans Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 848, 34 p.. http://geodesic.mathdoc.fr/item/SB_1997-1998__40__307_0/
@incollection{SB_1997-1998__40__307_0,
     author = {Pandharipande, Rahul},
     title = {Rational curves on hypersurfaces},
     booktitle = {S\'eminaire Bourbaki : volume 1997/98, expos\'es 835-849},
     series = {Ast\'erisque},
     note = {talk:848},
     pages = {307--340},
     year = {1998},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {252},
     mrnumber = {1685628},
     zbl = {0932.14029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SB_1997-1998__40__307_0/}
}
TY  - CHAP
AU  - Pandharipande, Rahul
TI  - Rational curves on hypersurfaces
BT  - Séminaire Bourbaki : volume 1997/98, exposés 835-849
AU  - Collectif
T3  - Astérisque
N1  - talk:848
PY  - 1998
SP  - 307
EP  - 340
IS  - 252
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/SB_1997-1998__40__307_0/
LA  - en
ID  - SB_1997-1998__40__307_0
ER  - 
%0 Book Section
%A Pandharipande, Rahul
%T Rational curves on hypersurfaces
%B Séminaire Bourbaki : volume 1997/98, exposés 835-849
%A Collectif
%S Astérisque
%Z talk:848
%D 1998
%P 307-340
%N 252
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/SB_1997-1998__40__307_0/
%G en
%F SB_1997-1998__40__307_0

[AM] P. Aspinwall and D. Morrison - Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), 245-262. | Zbl | MR | DOI

[Be] A. Beauville - Quantum cohomology of complete intersections, Mathematical Physics, Analysis, and Geometry 168 (1995), 384-398. | Zbl | MR

[B] K. Behrend - Gromov-Witten invariants in algebraic geometry, Invent. Math. 127 (1997), 601-617. | Zbl | MR | DOI

[BF] K. Behrend and B. Fantechi - The intrinsic normal cone, Invent. Math. 128 (1997), 45-88. | Zbl | MR | DOI

[BM] K. Behrend and Yu. Manin - Stacks of stable maps and Gromov-Witten invariants, Duke J. Math. 85 (1996) no. 1, 1-60. | Zbl | MR | DOI

[BDPP] G. Bini, C. De Concini, M. Polito, and C. Procesi - Givental's work, preprint 1998. | MR

[COGP] P. Candelas, X. De La Ossa, P. Green and L. Parkes - A pair of Calabi-Yau manifolds as an exactly soluble superconformal field theory, Nuclear Physics B359 (1991), 21-74. | Zbl | MR | DOI

[CK] D. Cox and S. Katz - Mirror symmetry and algebraic geometry, to appear in AMS Surveys and Monographs in Mathematics. | Zbl | MR

[D] B. Dubrovin - The geometry of 2D topological field theories, in Integrable systems and quantum groups, LNM 1620, Springer-Verlag, 1996, 120-348. | Zbl | MR

[ES1] G. Ellingsrud and S. Strømme - The number of twisted cubics on the general quintic threefold, Math. Scand. 76 (1995), no. 1, 5-34. | Zbl | EuDML | MR | DOI

[ES2] G. Ellingsrud and S. Strømme - Bott's formula and enumerative geometry, Jour. AMS 9 (1996), no. 1, 175-193. | Zbl | MR

[F] W. Fulton - Intersection theory, Springer-Verlag, 1980. | Zbl | MR

[FP] W. Fulton and R. Pandharipande - Notes on stable maps and quantum cohomology, in Proceedings of symposia in pure mathematics: Algebraic geometry Santa Cruz 1995, (J. Kollár, R. Lazarsfeld, D. Morrison, eds.), Volume 62, Part 2, 45-96. | Zbl | MR

[G1] A. Givental - Equivariant Gromov-Witten invariants, Int. Math. Res. Notices 13 (1996), 613-663. | Zbl | MR | DOI

[G2] A. Givental - A mirror theorem for toric complete intersections, preprint 1997. | MR | Zbl

[G3] A. Givental - Elliptic Gromov-Witten invariants and the generalized mirror conjecture, preprint 1998. | Zbl | MR

[GP] T. Graber and R. Pandharipande - Localization of virtual classes, Invent. Math., to appear. | Zbl | MR

[GMP] B. Greene, D. Morrison, and R. Plesser - Mirror manifolds in higher dimension, Comm. Math. Phys. Vol. 173 (1995), 559-598. | Zbl | MR | DOI

[K] S. Katz - On the finiteness of rational curves on quintic threefolds, Compositio Math. 60 (1986), 151-162. | Numdam | Zbl | EuDML | MR

[KJ1] S. Kleiman and T. Johnsen - Rational curves of degree at most 9 on a general quintic threefold, Comm. Algebra 24 (1996), no. 8, 2721-2753. | Zbl | MR | DOI

[KJ2] S. Kleiman and T. Johnsen - Toward Clemens' conjecture in degrees between 10 and 24, Serdica Math J. 23 (1997), 131-142. | Zbl | EuDML | MR

[Ki] B. Kim - Quantum hyperplane section theorem for homogeneous spaces, preprint 1998. | MR | Zbl

[Ko] M. Kontsevich - Enumeration of rational curves via torus actions, in The moduli space of curves, (R. Dijkgraaf, C. Faber, and G. van der Geer, eds.), Birkhauser, 1995, 335-368. | Zbl | MR

[KM] M. Kontsevich and Yu. Manin - Gromov-Witten classes, quantum cohomology, and enumerative geometry, Commun. Math. Phys. 164 (1994), 525-562. | Zbl | MR | DOI

[LLY] B. Lian, K. Liu, and S.-T. Yau - Mirror principle I, Asian J. Math. Vol. 1, no. 4 (1997), 729-763. | Zbl | MR | DOI

[LT] J. Li and G. Tian - Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties, Jour. AMS 11 (1998), no. 1, 119-174. | Zbl | MR

[M] Yu. Manin - Generating functions in algebraic geometry and sums over trees, in The moduli space of curves, (R. Dijkgraaf, C. Faber, and G. van der Geer, eds.), Birkhauser, 1995, 401-417. | Zbl | MR

[Mo] D. Morrison - Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, Jour. AMS 6 (1993), 223-247, | Zbl | MR

[RT] Y. Ruan and G. Tian - A mathematical theory of quantum cohomology, J. Diff. Geom. 42 (1995), 259-367. | Zbl | MR | DOI

[V] I. Vainsencher - Enumeration of n-fold tangent hyperplanes to a surface, J. Alg. Geometry 4 (1995), 503-526. | Zbl | MR

[Vo] C. Voisin - A mathematical proof of a formula of Aspinwall and Morrison, Comp. Math. 104 (1996), n° 2, 135-151. | Numdam | Zbl | EuDML | MR

[W1] E. Witten - Mirror manifolds and topological field theory, in: Essays on Mirror Manifolds (S.-T. Yau, ed.), International Press, Hong Kong 1992, 120-159. | Zbl | MR

[W2] E. Witten - Two dimensional gravity and intersection theory on moduli space, Survey in Diff. Geom. 1 (1991), 243-310. | Zbl | MR