Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee

被引:69
作者
Kim, B
Kresch, A
Pantev, T [1 ]
机构
[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA
[2] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0022-4049(02)00293-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A functoriality property of the virtual fundamental class on the moduli of stable maps is proven. The property is used to supply a proof of a conjecture of Cox, Katz and Lee. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:127 / 136
页数:10
相关论文
共 11 条
[1]   The intrinsic normal cone [J].
Behrend, K ;
Fantechi, B .
INVENTIONES MATHEMATICAE, 1997, 128 (01) :45-88
[2]   Gromov-Witten invariants in algebraic geometry [J].
Behrend, K .
INVENTIONES MATHEMATICAE, 1997, 127 (03) :601-617
[3]  
[Cox D. A. CKL CKL], 2001, CONTEMP MATH, V276, P157
[4]  
Fulton W., 2013, INTERSECTION THEORY, DOI DOI 10.1007/978-3-662-02421-8
[5]   INTERSECTION THEORY ON ALGEBRAIC STACKS AND Q-VARIETIES [J].
GILLET, H .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1984, 34 (2-3) :193-240
[6]   Localization of virtual classes [J].
Graber, T ;
Pandharipande, R .
INVENTIONES MATHEMATICAE, 1999, 135 (02) :487-518
[7]   Cycle groups for Artin stacks [J].
Kresch, A .
INVENTIONES MATHEMATICAE, 1999, 138 (03) :495-536
[8]   Canonical rational equivalence of intersections of divisors [J].
Kresch, A .
INVENTIONES MATHEMATICAE, 1999, 136 (03) :483-496
[9]  
Laumon G., 2000, Champs algebriques
[10]   Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties [J].
Li, J ;
Tian, G .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 11 (01) :119-174