A Vanishing Result for Donaldson Thomas Invariants of P^1 Scroll  

作　　者：Huai Liang CHANG 

机构地区：[1]Department of Mathematics,Hong Kong University of Science and Technology

出　　处：《Acta Mathematica Sinica,English Series》2014年第12期2079-2084,共6页数学学报（英文版）

基　　金：Partially supported by Hong Kong GRF(Grant No.600711)

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 DonaldsonThomas invariant of the P^1 scroll X = P（L＋Бs） vanishes unless the curves being enumerated lie in D = P（L︱C＋БC）.Our method is cosection localization of Y.-H.Kiem and J.Li.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 DonaldsonThomas invariant of the P^1 scroll X = P（L＋Бs） vanishes unless the curves being enumerated lie in D = P（L︱C＋БC）.Our method is cosection localization of Y.-H.Kiem and J.Li.

关 键 词：Cosection DT invariants two form 

分 类 号：O186.11[理学—数学]