On torsion in homology of singular toric varieties

Details On torsion in homology of singular toric varieties On torsion in homology of singular toric varieties

2005-09-19

arxiv.org/abs/math/0509418v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

Let $X$ be a toric variety. Rationally Borel-Moore homology of $X$ is
isomorphic to the homology of the Koszul complex $A^T_*(X)\otimes \Lambda^\x
M$, 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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