@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/} }
Looijenga, Eduard. $L^2$ -cohomology of locally symmetric varieties. Compositio Mathematica, Volume 67 (1988) no. 1, pp. 3-20. http://archive.numdam.org/item/CM_1988__67_1_3_0/
[AMRT] Smooth Compactifications of Locally Symmetric Varieties. Brookline: Math. Sci. Press (1975). | MR | Zbl
, , and ,[BBD] Faisceaux Pervers, in Analyse et Topologie sur les espaces singuliers, Astérisque 100 (1982). | MR | Zbl
, and ,[BB] Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math. 84 (1966) 442-528. | MR | Zbl
and ,[B1] Introduction aux Groupes Arithmétiques. Paris: Hermann (1969). | MR | Zbl
,[B2] 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] Regularization theorems in Lie Algebra cohomology. Applications. Duke Math. J. 50 (1983) 605-623. | MR | Zbl
,[BC1] L2-Cohomology of locally symmetric manifolds of finite volume. Duke Math. J. 50 (1983). 625-647. | MR | Zbl
and ,[BC2] 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
and ,[BL] 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
and ,[BS] Corners and arithmetic groups. Comm. Math. Helv.48 (1973) 436-491. | MR | Zbl
and ,[C] 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] L2 and intersection cohomologies for a polarization variation of Hodge structure. Invent. Math. 87 (1987) 217-252. | MR | Zbl
, and ,[vE] A generalization of the Cartan-Leray spectral sequence, I, II. Indag. Math. XX (1958) 399-413. | MR | Zbl
,[G] A special Stoke's theorem for complete Riemannian manifolds. Ann. of Math. 60 (1954) 140-145. | MR | Zbl
,[KK] The Poincaré lemma for variations of Hodge structure. Preprint RIMS-540, Kyoto (May 1986). | MR | Zbl
and ,[L] L2-Cohomology of locally symmetric varieties. Announcement, Columbia University, New York (Febr. 1987).
,[S1] Modules de Hodge polarisables. Preprint RIMS-553, Kyoto (October 1987). | MR
,[S2] Mixed Hodge Modules. Proc. Japan Acad. 62, Ser. A (1986) 360-363. | MR | Zbl
,[S3] On the Derived Category of Mixed Modules. Proc. Japan Acad. 62, Ser. A (1986) 364-366. | MR | Zbl
,[S4] Mixed Hodge Modules. Preprint RIMS-585, July 1987. | MR
,[SS] L2-Cohomology of Arithmetic Varieties. Preprint Duke University, Durham (Febr. 1987). | MR
and ,[Z1] Hodge theory with degenerating coefficients: L2 cohomology in the Poincaré metric. Ann. of Math. 109 (1981) 415-476. | Zbl
,[Z2] L2 Cohomology of Warped Products and Arithmetic Groups. Invent. Math. 70 (1982) 169-218. | MR | Zbl
,Z4 L2-Cohomology and Intersection Homology of Locally Symmetric Varieties, II. Comp. Math. 59 (1986) 339-398. | Numdam | MR | Zbl
,