Download:
|
by M. Goresky, G. Harder, R. Macpherson
http://www.math.ias.edu/~goresky/tori1.ps
Add To MetaCart
Abstract:
x1. Introduction. Suppose D is a Hermitian symmetric domain, \Gamma is a neat arithmetic group of automorphisms of D, and X = \GammanD is the corresponding locally symmetric space.
Citations
|
39
|
Algebra Cohomology and the Generalized Borel-Weil Theorem,Ann
– Kostant
- 1961
|
|
23
|
Corners and arithmetic groups
– Borel, Serre
- 1973
|
|
21
|
Introduction aux groupes arithmétiques
– Borel
- 1969
|
|
16
|
Smooth compactification of locally symmetric varieties, Math Sci
– Ash, Mumford, et al.
- 1975
|
|
15
|
Compactification of arithmetic quotients of bounded symmetric domains
– Baily, Borel
- 1966
|
|
15
|
On the cohomology of compact homogeneous spaces of nilpotent Lie groups
– Nomizu
- 1954
|
|
12
|
L 2 -cohomology of locally symmetric varieties
– Looijenga
- 1988
|
|
10
|
L2 cohomology of warped products and arithmetic groups
– Zucker
- 1982
|
|
8
|
Linear Algebraic Groups Birkhauser
– Springer
- 1983
|
|
6
|
Local contribution to the Lefschetz fixed point formula
– Goresky, MacPherson
- 1993
|
|
5
|
Arithmetical compactification of mixed Shimura varieties
– Pink
- 1989
|
|
5
|
Lefschetz formulae for arithmetic varieties
– Stern
- 1994
|
|
4
|
A Gauss-Bonnet formula for discrete arithmetically defined groups
– Harder
- 1971
|
|
4
|
Weighted cohomology of arithmetic groups
– Nair
- 1999
|
|
4
|
L 2 -cohomology of arithmetic varieties
– Saper, Stern
- 1990
|
|
4
|
L2 cohomology and intersection homology of locally symmetric spaces
– Zucker
- 1986
|
|
3
|
Weights in the local cohomology of a Baily-Borel compactification
– Looijenga, Rapoport
- 1991
|
|
3
|
Classical projective geometry and modular varieties., Algebraic analysis, geometry, and number theory
– MacPherson, McConnell
- 1989
|
|
3
|
On l-adic sheaves on Shimura varieties and their higher direct images in the BailyBorel compactification
– Pink
- 1992
|
|
2
|
A vanishing theorem in relative Lie algebra cohomology, Algebraic Groups Utrecht
– Borel
- 1986
|
|
2
|
Representations of Real Reductive Lie Groups, Birkhauser
– Vogan
- 1981
|
|
1
|
A generalization of the Cartan-Leray spectral sequence
– Est
- 1958
|