This is a preview of subscription content, log in via an institution to check access.
References
Baily, W.L., Jr., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. Math.84, 442–528 (1966)
Blasius, D.: On the critical values of HeckeL-series. (To appear)
Borovoi, M.: Canonical models of Shimura varieties. Handwritten notes dated 26/5/81
Brylinski, J.-L., Kashiwara, M.: Kazhdan-Lusztig conjecture and holonomic systems. Invent. Math.64, 387–410 (1981)
Deligne, P.: Travaux de Shimura. Sém. Bourbaki23, (1970/71), exp. 389. Lect. Notes Math.244, 123–165 (1972)
Deligne, P.: Variétés de Shimura: Interprétation modulaire, et techniques de construction des modèles canoniques. Proc. Symp. Pure Math.33, 247–290 (1979)
Deligne, P.: Fibrés sur les variétés de Shimura. Personal communication, July 1980
Deligne, P.: Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes (rédigé par J-L. Brylinski). Mem. Soc. Math. Fr.108, 23–33 (1980)
Deligne, P., Milne, J.S., Ogus, A., Shih, K.Y.: Hodge Cycles, Motives, and Shimura Varieties. Lect. Notes Math.900, (1982)
Dixmier, J.: Algèbres Enveloppantes. Paris: Gauthier-Villars 1974
Garrett, P.B.: Arithmetic and structure of automorphic forms on bounded symmetric domains. Am. J. Math.105, 1171–1194 (1983). Ibid. Am. J. Math.105, 1195–1216 (1983)
Harris, M.: Eisenstein series on Shimura varieties. Ann. Math.119, 59–94 (1984)
Harris, M.: Arithmetic vector bundles on Shimura varieties. In: Proceedings of the Katata Symposium on Automorphic Forms of Several Variables, Progr. Math. Boston: Birkhäuser 1983 (To appear)
Kazhdan, D.: On arithmetic varieties. In: Lie Groups and their Representations (I.M. Gelfand, ed.), pp. 151–217. Akadémidi Kiadó, Budapest 1975
Kazhdan, D.: On arithmetic varieties, II. Isr. J. Math.44, 139–159 (1983)
Langlands, R.P.: Automorphic representations. Shimura varieties and motives. Ein Märchen Proc. Symp. Pure Math.33, 205–246 (1979)
Milne, J.S.: The action of an automorphism of ℂ on a Shimura variety and its special points. Progr. Math. vol. 35, pp. 234–265. Boston: Birkhäuser 1983
Mumford, D.: Geometric Invariant Theory. Berlin: Springer 1965
Shimura, G.: On canonical models of arithmetic quotients of bounded symmetric domains I, II. Ann. Math.91, 144–222 (1970);92, 528–549 (1970)
Shimura, G.: On certain reciprocity laws for theta functions and modular forms. Acta Math.141, 35–71 (1978)
Shimura, G.: The arithmetic of automorphic forms with respect to a unitary group. Ann. Math.107, 569–605 (1978)
Shimura, G.: On some problems of algebraicity. Proc. Int. Cong. Math. 1978, VolI, 373–379 (1980)
Shimura, G.: Automorphic forms and the periods of abelian varieties. J. Math. Soc. Japan31, 561–592 (1979)
Shimura, G.: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Ann. Math.111, 313–375 (1980)
Shimura, G., Taniyama, Y.: Complex Multiplication of Abelian Varieties and its Applications to Number Theory. Publ. Math. Soc. Japan, Vol. 6 1961
Author information
Authors and Affiliations
Additional information
The author gratefully acknowledges support from the NSF, the Sloan Foundation, and the Taniguchi Foundation
Rights and permissions
About this article
Cite this article
Harris, M. Arithmetic vector bundles and automorphic forms on Shimura varieties. I. Invent Math 82, 151–189 (1985). https://doi.org/10.1007/BF01394784
Issue Date:
DOI: https://doi.org/10.1007/BF01394784