A. Weber

activity

19972005

collaborators

9 papers

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.AG2003

Pure homology of algebraic varieties

Andrzej Weber

We show that for a complete complex algebraic variety the pure component of homology coincides with the image of intersection homology. Therefore pure homology is topologically inv…

math.AG2003

Weights in the cohomology of toric varieties

Andrzej Weber

We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection…

math.AG2003

Residue forms on singular hypersurfaces

Andrzej Weber

The purpose of this paper is to point out a relation between the canonical sheaf and the intersection complex of a singular algebraic variety. We focus on the hypersurface case. Le…

math.AG2001

Formality of equivariant intersection cohomology

Andrzej Weber

We present several approaches to equivariant intersection cohomology. We show that for a complete algebraic variety acted by a connected algebraic group $G$ it is a free module ove…

math.AG2001

Koszul Duality for modules over Lie algebra

Tomasz Maszczyk, Andrzej Weber

Let $g$ be a reductive Lie algebra over a field of characteristic zero. Suppose $g$ acts on a complex of vector spaces $M$ by $i_{λ}$ and $L_{λ}$ , which satisfy the identities as contr…