Splitting of Gysin extensions.
Berrick, A.J., Davydov, A.A. (2001)
Algebraic & Geometric Topology
Similarity:
Berrick, A.J., Davydov, A.A. (2001)
Algebraic & Geometric Topology
Similarity:
Jeremy Rickard (1994)
Publications Mathématiques de l'IHÉS
Similarity:
Andrzej Weber (2004)
Open Mathematics
Similarity:
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 homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).
Marton Harris (1970)
Fundamenta Mathematicae
Similarity:
Valery Lunts (1995)
Compositio Mathematica
Similarity:
Matthias Franz, Andrzej Weber (2005)
Annales de l’institut Fourier
Similarity:
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...
Robin Hartshorne (1975)
Publications Mathématiques de l'IHÉS
Similarity:
Hüttemann, Thomas (2011)
Serdica Mathematical Journal
Similarity:
2010 Mathematics Subject Classification: Primary 18G35; Secondary 55U15. We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new...
Manuel Blickle, Raphaël Bondu (2005)
Annales de l'institut Fourier
Similarity:
Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with coefficients.
Vladimir Voevodsky (2003)
Publications Mathématiques de l'IHÉS
Similarity: