@article{CM_1986__58_2_233_0, author = {Schwermer, Joachim}, title = {On arithmetic quotients of the Siegel upper half space of degree two}, journal = {Compositio Mathematica}, volume = {60}, year = {1986}, pages = {233-258}, mrnumber = {844411}, zbl = {0596.10029}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1986__58_2_233_0} }
Schwermer, Joachim. On arithmetic quotients of the Siegel upper half space of degree two. Compositio Mathematica, Tome 60 (1986) pp. 233-258. http://gdmltest.u-ga.fr/item/CM_1986__58_2_233_0/
[1] Introduction aux groupes arithmétiques. Paris: Hermann (1969). | MR 244260 | Zbl 0186.33202
:[2] Stable real cohomology of arithmetic groups II. In: J. Hano et al. (ed.), Manifolds and Lie groups. Progress in Maths., Vol. 14, pp. 21-55. Boston -Basel-Stuttgart (1981). | MR 642850 | Zbl 0483.57026
:[3] J-P. SERRE: Corners and arithmetic groups. Comment. Math. Helvetici 48 (1973) 436-491. | MR 387495 | Zbl 0274.22011
and[4] Continuous cohomology, discrete subgroups and representations of reductive groups. Annals of Math. Studies 94, Princeton: University Press (1980). | MR 554917 | Zbl 0443.22010
and :[5] Lectures on algebraic topology. Grundlehren d. math. Wiss., 200. Berlin- Heidelberg-New York: Springer (1972). | MR 415602 | Zbl 0234.55001
:[6] Holomorphic discrete series for the real symplectic group. Inventiones math. 19 (1973) 49-58. | MR 320231 | Zbl 0236.22013
:[7] On the cohomology of discrete arithmetically defined groups. In: Proc. of the Int. Colloq. on Discrete Subgroups of Liegroups and appl. to Moduli (Bombay 1973), pp. 129-160 Oxford: University Press (1975). | MR 425018 | Zbl 0317.57022
:[8] Period integrals of Eisenstein cohomology classes and special values of some L-functions. In: Ed. N. Koblitz, Number theory related to Fermat's last theorem. Progress in Maths., Vol. 26, pp. 103-142, Boston- Basel-Stuttgart (1982). | MR 685293 | Zbl 0517.12008
:[9] General aspects in the theory of modular symbols. In: Seminaire de theorie des nombres. Progress in Maths., Vol. 38, pp. 73-88, Boston (1983). | MR 729161 | Zbl 0526.10027
:[10] Eisenstein cohomology of arithmetic groups: The case GL2. Preprint (1984). | Zbl 0629.10023
:[11] Discrete series for semisimple Lie groups II. Acta Math. 116 (1966) 1-111. | MR 219666 | Zbl 0199.20102
:[12] Automorphic forms on semisimple Lie groups. Lect. Notes in Maths., 62, Berlin- Heidelberg-New York: Springer (1968). | MR 232893 | Zbl 0186.04702
:[13] Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. of Math. 74 (1961) 329-387. | MR 142696 | Zbl 0134.03501
:[14] Modular forms and l-adic representations. In: Modular Functions of one variable II, Lect. Notes in Maths., 349, pp. 361-500, Berlin- Heidelberg-New York: Springer (1973). | MR 354617 | Zbl 0279.14007
:[15] On the functional equations satisfied by Eisenstein series. Lect. Notes in Maths., 544, Berlin-Heidelberg- New York: Springer (1976). | MR 579181 | Zbl 0332.10018
:[16] Cohomology of arithmetic subgroups of SL3 at infinity. Journal f. d. reine u. angew. Math. 330 (1982) 100-131. | MR 641814 | Zbl 0463.57014
and :[17] The Lefschetz number of an involution on the space of harmonic cusp forms of SL3. Inventiones math. 73 (1983) 189-239. | MR 714089 | Zbl 0525.10014
and :[18] On the homology and cohomology of congruence subgroups. Inventiones math. 33 (1976) 15-53. | MR 422498 | Zbl 0332.18015
and :[19] Zur Theorie der Siegelschen Modulgruppe. Math. Annalen 159 (1965) 115-129. | MR 181676 | Zbl 0134.26502
:[20] An analogue of the Borel-Weil-Bott theorem for Hermitian symmetric pairs of noncompact type. Ann. of Math. 93 (1970) 486-511. | MR 274657 | Zbl 0257.22013
and :[21] Sur la cohomologie des sous-groupes de congruence de SL3(Z). C.R. Acad. Sc. Paris 283 (1976) 817-820. | MR 430155 | Zbl 0354.57014
:[22] Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen. Lect. Notes in Maths., 988. Berlin-Heidelberg -New York-Tokyo: Springer (1983). | MR 822473 | Zbl 0506.22015
:[23] Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SLn(Q). Journal f.d. reine u. angew. Math. 364 (1986) 193-220. | MR 817646 | Zbl 0571.10032
:[24] Euler products and the cohomology of arithmetic quotients of the Siegel upper half space of degree two. (In preparation.)
:[25] Eisensteinreihen und die Kohomologie von Kongruenzuntergruppen von SLn(Z). Bonner Math. Schriften, no. 99 (1977). | MR 498403 | Zbl 0389.57017
:[26] Introduction to the arithmetic theory of automorphic functions. Publ. Math. Soc. Japan 11, Princeton: University Press (1971). | MR 314766 | Zbl 0221.10029
:[27] Representations of real reductive Lie groups. Progress in maths., Vol. 15, Boston-Basel-Stuttgart: Birkhäuser (1981). | MR 632407 | Zbl 0469.22012
:[28] Unitary representations with non-zero cohomology. Compositio Math. 53 (1984) 51-90. | Numdam | MR 762307 | Zbl 0692.22008
, JR. and :