Torsion in the Cohomology of Torus Orbifolds

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...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2017-11, Vol.38 (6), p.1247-1268
Main Authors: Kuwata, Hideya, Masuda, Mikiya, Zeng, Haozhi
Format: Article
Language:English
Subjects:
Applications of Mathematics
Integrals
Mathematics
Mathematics and Statistics
Torsion
Toruses
扭转
花托
不可分
作者
家庭
证明
曲面
素数
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Summary: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-017-1034-4