Torsion in the Cohomology of Torus Orbifolds
Torsion in the Cohomology of Torus Orbifolds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.