-cohomology of locally symmetric varieties
Eduard Looijenga (1988)
Compositio Mathematica
Similarity:
Displaying similar documents to “-cohomology and intersection homology of locally symmetric varieties, II”
-cohomology of locally symmetric varieties
On arithmetic quotients of the Siegel upper half space of degree two
Joachim Schwermer (1986)
Compositio Mathematica
Similarity:
Vanishing theorems on cohomology associated to hermitian symmetric spaces
Shingo Murakami (1987)
Annales de l'institut Fourier
Similarity:
We consider the cohomoly groups of compact locally Hermitian symmetric spaces with coefficients in the sheaf of germs of holomorphic sections of those vector bundles over the spaces which are defined by canonical automorphic factors. We give a quick survey of the research on these cohomology groups, and then discuss vanishing theorems of the cohomology groups.
Boundary cohomology of Shimura varieties. I. Coherent cohomology on toroidal compactifications
Michael Harris, Steven Zucker (1994)
Annales scientifiques de l'École Normale Supérieure
Similarity:
On the real cohomology of arithmetic groups and the rank conjecture for number fields
Jun Yang (1992)
Annales scientifiques de l'École Normale Supérieure
Similarity:
On the cuspidal cohomology of -arithmetic subgroups of reductive groups over number fields
A. Borel, J.-P. Labesse, J. Schwermer (1996)
Compositio Mathematica
Similarity:
Weights in the cohomology of toric varieties
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).