Torsion in the Cohomology of Torus Orbifolds

作     者：Hideya KUWATA Mikiya MASUDA Haozhi ZENG 

作者机构：Department of MathematicsOsaka City UniversitySumiyoshi-kuOsaka 558-8585Japan School ofMathematical SciencesFudan UniversityShanghai 200433China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2017年第38卷第6期

页      面：1247-1268页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by JSPS Grant-in-Aid for Scientific Research(No.25400095) 

主　　题：Toric orbifold Cohomology Torsion 

摘      要：The authors study torsion in the integral cohomology of a certain family of2 n-dimensional orbifolds X with actions of the n-dimensional compact torus. Compact simplicial toric varieties are in our family. For a prime number p, the authors find a necessary condition for the integral cohomology of X to have no p-torsion. Then it is proved that the necessary condition is sufficient in some cases. The authors also give an example of X which shows that the necessary condition is not sufficient in general.