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| Torsion in the Cohomology of Torus Orbifolds |
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Citation： |
Hideya KUWATA,Mikiya MASUDA,Haozhi ZENG.Torsion in the Cohomology of Torus Orbifolds[J].Chinese Annals of Mathematics B,2017,38(6):1247~1268 |
| Page view： 933
Net amount： 1312 |
Authors： |
Hideya KUWATA; Mikiya MASUDA;Haozhi ZENG |
Foundation： |
This work was supported by JSPS Grant-in-Aid for
Scientific Research (No.25400095). |
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| Abstract： |
The authors study torsion in the integral cohomology of a certain
family of $2n$-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. |
Keywords： |
Toric orbifold, Cohomology, Torsion |
Classification： |
55N10, 57S15, 14M25 |
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