L 2 -cohomology of locally symmetric varieties
Compositio Mathematica, Tome 67 (1988) no. 1, pp. 3-20.
@article{CM_1988__67_1_3_0,
     author = {Looijenga, Eduard},
     title = {$L^2$ -cohomology of locally symmetric varieties},
     journal = {Compositio Mathematica},
     pages = {3--20},
     publisher = {Kluwer Academic Publishers},
     volume = {67},
     number = {1},
     year = {1988},
     mrnumber = {949269},
     zbl = {0658.14010},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1988__67_1_3_0/}
}
TY  - JOUR
AU  - Looijenga, Eduard
TI  - $L^2$ -cohomology of locally symmetric varieties
JO  - Compositio Mathematica
PY  - 1988
SP  - 3
EP  - 20
VL  - 67
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://archive.numdam.org/item/CM_1988__67_1_3_0/
LA  - en
ID  - CM_1988__67_1_3_0
ER  - 
%0 Journal Article
%A Looijenga, Eduard
%T $L^2$ -cohomology of locally symmetric varieties
%J Compositio Mathematica
%D 1988
%P 3-20
%V 67
%N 1
%I Kluwer Academic Publishers
%U http://archive.numdam.org/item/CM_1988__67_1_3_0/
%G en
%F CM_1988__67_1_3_0
Looijenga, Eduard. $L^2$ -cohomology of locally symmetric varieties. Compositio Mathematica, Tome 67 (1988) no. 1, pp. 3-20. http://archive.numdam.org/item/CM_1988__67_1_3_0/

[AMRT] A. Ash, D. Mumford, M. Rapoport and Y. Tai, Smooth Compactifications of Locally Symmetric Varieties. Brookline: Math. Sci. Press (1975). | MR | Zbl

[BBD] A. Beilinson, J. Bernstein and P. Deligne, Faisceaux Pervers, in Analyse et Topologie sur les espaces singuliers, Astérisque 100 (1982). | MR | Zbl

[BB] W. Baily and A. Borel, Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math. 84 (1966) 442-528. | MR | Zbl

[B1] A. Borel, Introduction aux Groupes Arithmétiques. Paris: Hermann (1969). | MR | Zbl

[B2] A. Borel, L2-cohomology and intersection cohomology of certain arithmetic varieties, in Emmy Noether at Bryn Mawr, 119-131. Berlin- Heidelberg-New York: Springer-Verlag (1983). | MR | Zbl

[B3] A. Borel, Regularization theorems in Lie Algebra cohomology. Applications. Duke Math. J. 50 (1983) 605-623. | MR | Zbl

[BC1] A. Borel and W. Casselman, L2-Cohomology of locally symmetric manifolds of finite volume. Duke Math. J. 50 (1983). 625-647. | MR | Zbl

[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. | MR | Zbl

[BL] J.-L. Brylinski and J.-P. Labesse, Cohomologie d'intersection et fonctions L de certaines variétés de Shimura. Ann. Sc. de l'Éc. Norm. Sup. 17, 4e Série (1983) 361-412. | Numdam | MR | Zbl

[BS] A. Borel and J.-P. Serre, Corners and arithmetic groups. Comm. Math. Helv.48 (1973) 436-491. | MR | Zbl

[C] W. Casselman, Introduction to the L2-Cohomology of Arithmetic Quotients of Bounded Symmetric Domains. Complex Analytic Singularities, Advanced Studies in Pure Mathematics 8 (1986) 69-93. | MR | Zbl

[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. | MR | Zbl

[vE] W.T. Van Est, A generalization of the Cartan-Leray spectral sequence, I, II. Indag. Math. XX (1958) 399-413. | MR | Zbl

[G] M. Gaffney, A special Stoke's theorem for complete Riemannian manifolds. Ann. of Math. 60 (1954) 140-145. | MR | Zbl

[KK] M. Kashiwara and T. Kawai, The Poincaré lemma for variations of Hodge structure. Preprint RIMS-540, Kyoto (May 1986). | MR | Zbl

[L] E. Looijenga, L2-Cohomology of locally symmetric varieties. Announcement, Columbia University, New York (Febr. 1987).

[S1] M. Saito, Modules de Hodge polarisables. Preprint RIMS-553, Kyoto (October 1987). | MR

[S2] M. Saito, Mixed Hodge Modules. Proc. Japan Acad. 62, Ser. A (1986) 360-363. | MR | Zbl

[S3] M. Saito, On the Derived Category of Mixed Modules. Proc. Japan Acad. 62, Ser. A (1986) 364-366. | MR | Zbl

[S4] M. Saito, Mixed Hodge Modules. Preprint RIMS-585, July 1987. | MR

[SS] L. Saper and M. Stern, L2-Cohomology of Arithmetic Varieties. Preprint Duke University, Durham (Febr. 1987). | MR

[Z1] S. Zucker, Hodge theory with degenerating coefficients: L2 cohomology in the Poincaré metric. Ann. of Math. 109 (1981) 415-476. | Zbl

[Z2] S. Zucker, L2 Cohomology of Warped Products and Arithmetic Groups. Invent. Math. 70 (1982) 169-218. | MR | Zbl

Z4 S. Zucker, L2-Cohomology and Intersection Homology of Locally Symmetric Varieties, II. Comp. Math. 59 (1986) 339-398. | Numdam | MR | Zbl