@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}, publisher = {Soci\'et\'e math\'ematique de France}, number = {252}, year = {1998}, mrnumber = {1685628}, zbl = {0932.14029}, language = {en}, url = {http://www.numdam.org/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://www.numdam.org/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://www.numdam.org/item/SB_1997-1998__40__307_0/ %G en %F SB_1997-1998__40__307_0
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://www.numdam.org/item/SB_1997-1998__40__307_0/
[AM] Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), 245-262. | DOI | MR | Zbl
and -[Be] Quantum cohomology of complete intersections, Mathematical Physics, Analysis, and Geometry 168 (1995), 384-398. | MR | Zbl
-[B] Gromov-Witten invariants in algebraic geometry, Invent. Math. 127 (1997), 601-617. | DOI | MR | Zbl
-[BF] The intrinsic normal cone, Invent. Math. 128 (1997), 45-88. | DOI | MR | Zbl
and -[BM] Stacks of stable maps and Gromov-Witten invariants, Duke J. Math. 85 (1996) no. 1, 1-60. | DOI | MR | Zbl
and -[BDPP] Givental's work, preprint 1998. | MR
, , , and -[COGP] A pair of Calabi-Yau manifolds as an exactly soluble superconformal field theory, Nuclear Physics B359 (1991), 21-74. | DOI | MR | Zbl
, , and -[CK] Mirror symmetry and algebraic geometry, to appear in AMS Surveys and Monographs in Mathematics. | MR | Zbl
and -[D] The geometry of 2D topological field theories, in Integrable systems and quantum groups, LNM 1620, Springer-Verlag, 1996, 120-348. | MR | Zbl
-[ES1] The number of twisted cubics on the general quintic threefold, Math. Scand. 76 (1995), no. 1, 5-34. | DOI | EuDML | MR | Zbl
and -[ES2] Bott's formula and enumerative geometry, Jour. AMS 9 (1996), no. 1, 175-193. | MR | Zbl
and -[F] Intersection theory, Springer-Verlag, 1980. | MR | Zbl
-[FP] 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. | MR | Zbl
and -[G1] Equivariant Gromov-Witten invariants, Int. Math. Res. Notices 13 (1996), 613-663. | DOI | MR | Zbl
-[G2] A mirror theorem for toric complete intersections, preprint 1997. | MR | Zbl
-[G3] Elliptic Gromov-Witten invariants and the generalized mirror conjecture, preprint 1998. | MR | Zbl
-[GP] Localization of virtual classes, Invent. Math., to appear. | MR | Zbl
and -[GMP] Mirror manifolds in higher dimension, Comm. Math. Phys. Vol. 173 (1995), 559-598. | DOI | MR | Zbl
, , and -[K] On the finiteness of rational curves on quintic threefolds, Compositio Math. 60 (1986), 151-162. | EuDML | Numdam | MR | Zbl
-[KJ1] Rational curves of degree at most 9 on a general quintic threefold, Comm. Algebra 24 (1996), no. 8, 2721-2753. | DOI | MR | Zbl
and -[KJ2] Toward Clemens' conjecture in degrees between 10 and 24, Serdica Math J. 23 (1997), 131-142. | EuDML | MR | Zbl
and -[Ki] Quantum hyperplane section theorem for homogeneous spaces, preprint 1998. | MR | Zbl
-[Ko] 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. | MR | Zbl
-[KM] Gromov-Witten classes, quantum cohomology, and enumerative geometry, Commun. Math. Phys. 164 (1994), 525-562. | DOI | MR | Zbl
and -[LLY] Mirror principle I, Asian J. Math. Vol. 1, no. 4 (1997), 729-763. | DOI | MR | Zbl
, , and -[LT] Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties, Jour. AMS 11 (1998), no. 1, 119-174. | MR | Zbl
and -[M] 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. | MR | Zbl
-[Mo] Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, Jour. AMS 6 (1993), 223-247, | MR | Zbl
-[RT] A mathematical theory of quantum cohomology, J. Diff. Geom. 42 (1995), 259-367. | DOI | MR | Zbl
and -[V] Enumeration of n-fold tangent hyperplanes to a surface, J. Alg. Geometry 4 (1995), 503-526. | MR | Zbl
-[Vo] A mathematical proof of a formula of Aspinwall and Morrison, Comp. Math. 104 (1996), n° 2, 135-151. | EuDML | Numdam | MR | Zbl
-[W1] Mirror manifolds and topological field theory, in: Essays on Mirror Manifolds (S.-T. Yau, ed.), International Press, Hong Kong 1992, 120-159. | MR | Zbl
-[W2] Two dimensional gravity and intersection theory on moduli space, Survey in Diff. Geom. 1 (1991), 243-310. | MR | Zbl
-