This is a preview of subscription content, log in via an institution to check access.
References
Bieri, R., Eckmann, B.: Groups with homological duality generalizing Poincaré duality. Invent. Math.20, 103–124 (1973)
Borel, A.: Cohomologie de certains groupes discrets et Laplacienp-adique (d'après H. Garland). In: Sém. Bourbaki 1973/74, exp. 437, pp. 12–35. (Lect. Notes Math., vol. 431) Berlin Heidelberg New York: Springer 1975
Borel, A., Serre, J.-P.: Cohomologie d'immeubles et de groupesS-arithmétiques. Topology15, 211–232 (1976)
Borel, A., Tits, J.: Homomorphismes ≫abstraits≪ de groupes algébriques simples. Ann. Math.97, 499–571 (1973)
Borel, A., Wallach, N.: Continuous cohomology, discrete subgroups, and representations of reductive groups. (Ann. Math. Stud., vol. 94) Princeton: Princeton University Press 1980
Bourbaki, N.: Algèbre. Chap. VIII. Modules et Anneaux Semi-simples. Paris: Hermann 1958
Casselman, W.: On ap-adic vanishing theorem of Garland. Bull. Soc. Am. Math. Soc.80, 1001–1004 (1974)
Casselman, W.: A new non-unitarity argument forp-adic representations. J. Fac. Sci. Univ. Tokyo28, 907–928 (1981)
Drinfel'd, V.G.: Elliptic modules. Math. USSR, Sb.23, 561–592 (1974)
Faltings, G.: On the cohomology of locally symmetric hermitian spaces. In: Malliavin, M.-P. (ed.) Sém. d'Algèbre P. Dubreil et M.-P. Malliavin. Proc. Paris 1982 (Lect. Notes Math., vol. 1029, pp. 55–98) Berlin Heidelberg New York: Springer 1983
Faltings, G., Chai, C.-L.: Degeneration of Abelian varieties. Berlin Heidelberg New York: Springer 1990
Garland, H.:p-adic curvature and the cohomology of discrete subgroups ofp-adic groups. Ann. Math.97, 375–423 (1973)
Gerritzen, L., van der Put, M.: Schottky groups and Mumford curves. (Lect. Notes Math., vol. 817) Berlin Heidelberg New York: Springer 1980
Jantzen, J.C.: Representations of algebraic groups. Boston: Academic Press 1987
Kiehl, R.: Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie. Invent. Math.2, 191–214 (1967)
Kostant, B.: Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. Math.74, 329–387 (1961)
Kurihara, A.: Construction ofp-adic unit balls and the Hirzebruch proportionality. Am. J. Math.102, 565–648 (1980)
Lepowsky, J.: A generalization of the Bernstein-Gelfand-Gelfand resolution. J. Algebra49, 496–511 (1977)
Malgrange, B.: Regular connections, after Deligne In: Borel, A., et al. (eds.) AlgebraicD-modules (Perspect. Math. vol. 2, pp. 151–172) Boston: Academic Press 1987
Margulis, G.A.: Discrete subgroups of semisimple Lie groups. Berlin Heidelberg New York: Springer 1991
Morita, Y.: Analytic representations of SL2 over a ℘-acid number field, II. In: Automorphic forms of several variables. Taniguchi Symp. 1983. (Progr. Math., vol. 46, pp. 282–297) Boston Basel Stuttgart: Birkhäuser 1984
Mumford, D.: An algebraic surface withK ample, (K 2)=9,p g =q=0. Am. J. Math.101, 233–244 (1979)
Mustafin, G.A.: Nonarchimedean uniformization. Math. USSR, Sb.34, 187–214 (1978)
Schneider, P., Stuhler, U.: The cohomology ofp-adic symmetric spaces. Invent. Math.105, 47–122 (1991)
Serre, J.-P.: Cohomologie des groupes discrets In: Hirzebruch, F., Hörmander, L., Milnor, J., Serre, J.-P., Singer, I.M. (eds.) Prospects in Mathematics. (Ann. Math. Stud., vol. 70, pp. 77–169) Princeton: Princeton University Press 1971
Serre, J.-P.: Trees. Berlin Heidelberg New York: Springer 1980
Shalit, E. de: Differentials of the second kind on Mumford curves. Isr. J. Math.71, 1–16 (1990)
Zucker, S.: Locally homogeneous variations of Hodge structure. Enseign. Math.27, 243–276 (1981)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schneider, P. The cohomology of local systems onp-adically uniformized varieties. Math. Ann. 293, 623–650 (1992). https://doi.org/10.1007/BF01444738
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01444738