The combinatorial part of the cohomology of a singular variety

Details The combinatorial part of the cohomology of a singular variety The combinatorial part of the cohomology of a singular variety

2009-02-24

arxiv.org/abs/0902.4234v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

We study the first step of the weight filtration on the cohomology of a
proper complex algebraic variety, which we call the combinatorial part. We
obtain a natural upper bound on its size, which gives rather strong information
about the topology of rational singularities.

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