-cohomology of locally symmetric varieties
Eduard Looijenga (1988)
Compositio Mathematica
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Eduard Looijenga (1988)
Compositio Mathematica
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Sascha Orlik (2001)
Annales scientifiques de l'École Normale Supérieure
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Annette Huber, Guido Kings (1999)
Annales scientifiques de l'École Normale Supérieure
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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 -variety ( being a connected algebraic group) in terms of its equivariant cohomology provided that is pure. This is the case, for example, if is smooth and has only finitely many orbits. We work...
Jürgen Rohlfs, Birgit Speh (1987)
Annales scientifiques de l'École Normale Supérieure
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