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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…