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On torsion in homology of singular toric varieties

Andrzej Weber
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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 $A^T_*(X)$ 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.

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Andrzej Weber. 2005-09-19. On torsion in homology of singular toric varieties. https://arxiv.org/abs/math/0509418

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