The number of rational curves on K3 surfaces

被引：0

作者：

Wu, Baosen ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

ASIAN JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 04期

关键词：

rational curve; K3; surface; stable sheaf; Euler number;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a K3 surface with a primitive ample divisor H, and let beta = 2[H] is an element of H-2 (X, Z). We calculate the Gromov-Witten type invariants n(beta) by virtue of Enter numbers of some moduli spaces of stable sheaves. Eventually, it verifies Yau-Zaslow formula in the non primitive class beta.

引用

页码：635 / 650

页数：16

共 19 条

[1] Counting rational curves on K3 surfaces [J].