Torsion in the cohomology of torus orbifolds

Abstract

We 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 $p$, we find a necessary condition for the integral cohomology of $X$ to have no $p$-torsion. Then we prove that the necessary condition is sufficient in some cases. We also give an example of $X$ which shows that the necessary condition is not sufficient in general.

22 pages, 3 figures

References in corpus (1)

• On Poincare Duality for Orbifolds

Cited by in corpus (2)

• On the Integral Cohomology Ring of Toric Orbifolds and Singular Toric Varieties
• On integral cohomology of certain orbifolds