Vanishing cohomology of singularities of mappings

Victor Goryunov; David Mond

Displaying similar documents to “Vanishing cohomology of singularities of mappings”

Pole order filtration on the cohomology of algebraic links

Yakov Karpishpan (1991)

Compositio Mathematica

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De Rham cohomology of affinoid spaces

Marius Van der Put (1990)

Compositio Mathematica

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Weights in cohomology and the Eilenberg-Moore spectral sequence

Matthias Franz, Andrzej Weber (2005)

Annales de l’institut Fourier

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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 spaces involved have pure cohomology. As application, we compute the rational cohomology of an algebraic $G$ -variety $X$ ( $G$ being a connected algebraic group) in terms of its equivariant cohomology provided that $H_{G}^{*} (X)$ is pure. This is the case, for example, if $X$ is smooth and has only finitely many orbits. We work...