Andrzej Weber

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math.AG2005

On torsion in homology of singular toric varieties

Andrzej Weber

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…

math.AG2004

Weights in cohomology and the Eilenberg-Moore spectral sequence

Matthias Franz, Andrzej Weber

We show that in the category of complex algebraic varieties, the Eilenberg--Moore spectral sequence can be endowed with a weight filtration. This implies that it degenerates if all…