Convex rationally connected varieties
HTML articles powered by AMS MathViewer
- by R. Pandharipande PDF
- Proc. Amer. Math. Soc. 141 (2013), 1539-1543 Request permission
Abstract:
We prove that all nonsingular, convex, rationally connected, complete intersections in projective space are homogeneous.References
- Alexander B. Givental, Equivariant Gromov-Witten invariants, Internat. Math. Res. Notices 13 (1996), 613–663. MR 1408320, DOI 10.1155/S1073792896000414
- Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
- Nicholas M. Katz and Rahul Pandharipande, Inequalities related to Lefschetz pencils and integrals of Chern classes, Geometric aspects of Dwork theory. Vol. I, II, Walter de Gruyter, Berlin, 2004, pp. 805–818. MR 2099087
- János Kollár, Yoichi Miyaoka, and Shigefumi Mori, Rationally connected varieties, J. Algebraic Geom. 1 (1992), no. 3, 429–448. MR 1158625
- J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331, DOI 10.1515/9781400881802
- Rahul Pandharipande, Rational curves on hypersurfaces (after A. Givental), Astérisque 252 (1998), Exp. No. 848, 5, 307–340. Séminaire Bourbaki. Vol. 1997/98. MR 1685628
Additional Information
- R. Pandharipande
- Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08540
- Address at time of publication: Departement Mathematik, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
- MR Author ID: 357813
- Received by editor(s): May 24, 2011
- Received by editor(s) in revised form: September 1, 2011
- Published electronically: October 16, 2012
- Communicated by: Lev Borisov
- © Copyright 2012 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 1539-1543
- MSC (2010): Primary 14E08
- DOI: https://doi.org/10.1090/S0002-9939-2012-11429-7
- MathSciNet review: 3020841