A Vanishing Result for Donaldson Thomas Invariants of P1 Scroll

被引：0
|
作者：
Chang, Huai Liang [1 ]
机构：
[1] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 12期
关键词：
Cosection; DT invariants; two form; CYCLES;
D O I：
10.1007/s10114-014-2730-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S be a smooth algebraic surface and let L be a line bundle on S. Suppose there is a holomorphic two form over S with zero loci to be a curve C. We show that the Donaldson Thomas invariant of the P-1 scroll X = P(L circle plus Cs) vanishes unless the curves being enumerated lie in D = P(L vertical bar(C) circle plus C-C). Our method is cosection localization of Y.-H. Kiem and J. Li.
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页码：2079 / 2084
页数：6
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