L 2 -cohomology of locally symmetric varieties

Eduard Looijenga

Compositio Mathematica (1988)

  • Volume: 67, Issue: 1, page 3-20
  • ISSN: 0010-437X

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Looijenga, Eduard. "$L^2$ -cohomology of locally symmetric varieties." Compositio Mathematica 67.1 (1988): 3-20. <http://eudml.org/doc/89909>.

@article{Looijenga1988,
author = {Looijenga, Eduard},
journal = {Compositio Mathematica},
keywords = {-cohomology; intersection cohomology},
language = {eng},
number = {1},
pages = {3-20},
publisher = {Kluwer Academic Publishers},
title = {$L^2$ -cohomology of locally symmetric varieties},
url = {http://eudml.org/doc/89909},
volume = {67},
year = {1988},
}

TY - JOUR
AU - Looijenga, Eduard
TI - $L^2$ -cohomology of locally symmetric varieties
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 67
IS - 1
SP - 3
EP - 20
LA - eng
KW - -cohomology; intersection cohomology
UR - http://eudml.org/doc/89909
ER -

References

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  6. [B3] A. Borel, Regularization theorems in Lie Algebra cohomology. Applications. Duke Math. J.50 (1983) 605-623. Zbl0528.22010MR714820
  7. [BC1] A. Borel and W. Casselman, L2-Cohomology of locally symmetric manifolds of finite volume. Duke Math. J.50 (1983). 625-647. Zbl0528.22012MR714821
  8. [BC2] A. Borel and W. Casselman, Cohomologie d'intersection et L 2-cohomologie de variétés arithmétiques de rang rationnel 2, C.R. Acad. Sc. Paris, 301, Serie I, n° 7 (1985) 369-373. Zbl0612.14018MR808630
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  11. [C] W. Casselman, Introduction to the L2-Cohomology of Arithmetic Quotients of Bounded Symmetric Domains. Complex Analytic Singularities, Advanced Studies in Pure Mathematics8 (1986) 69-93. Zbl0669.22004MR894286
  12. [CKS] E. Cattani, A. Kaplan and W. Schmid, L2 and intersection cohomologies for a polarization variation of Hodge structure. Invent. Math.87 (1987) 217-252. Zbl0611.14006MR870728
  13. [vE] W.T. van Est, A generalization of the Cartan-Leray spectral sequence, I, II. Indag. Math.XX (1958) 399-413. Zbl0084.39202MR103467
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  16. [L] E. Looijenga, L2-Cohomology of locally symmetric varieties. Announcement, Columbia University, New York (Febr. 1987). 
  17. [S1] M. Saito, Modules de Hodge polarisables. Preprint RIMS-553, Kyoto (October 1987). MR1000123
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  24. Z4 S. Zucker, L2-Cohomology and Intersection Homology of Locally Symmetric Varieties, II. Comp. Math.59 (1986) 339-398. Zbl0624.14014MR860320

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