Counting elliptic curves in K3 surfaces

被引：4
|
作者：
Lee, Junho [1 ]
Leung, Naichung Conan [1 ]
机构：
[1] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
来源：
JOURNAL OF ALGEBRAIC GEOMETRY | 2006年 / 15卷 / 04期
关键词：
D O I：
10.1090/S1056-3911-06-00439-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the genus g = 1 family GW-invariants of K3 surfaces for non-primitive classes. These calculations verify the Gottsche-Yau-Zaslow formula for non-primitive classes with index two. Our approach is to use the genus two topological recursion formula and the symplectic sum formula to establish relationships among various generating functions.
引用
收藏
页码：591 / 601
页数：11
相关论文
共 50 条
12345