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

页码：591 / 601

页数：11