The combinatorial part of the cohomology of a singular variety
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🧮 math.AG
keywords
cohomologycombinatorialpartvarietyalgebraicboundcallcomplex
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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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