On torsion in homology of singular toric varieties

Abstract

Let $X$ be a toric variety. Rationally Borel-Moore homology of $X$ is isomorphic to the homology of the Koszul complex $A^T_*(X)\otimes Λ^\x M$, where $A_{\ast }^T(X)$ is the equivariant Chow group and $M$ is the character group of $T$. Moreover, the same holds for coefficients which are the integers with certain primes inverted.

7 pages

References in corpus (1)

• Equivariant Todd Classes for Toric Varieties