Über die schlechte Reduktion einiger Shimuramannigfaltigkeiten
Compositio Mathematica (1982)
- Volume: 45, Issue: 1, page 15-107
- ISSN: 0010-437X
Access Full Article
topHow to cite
topReferences
top- [EGA] A. Grothendieck: Elements de Geometrie Algébrique. Publ. Math. I.H.E.S.
- [SGA 1] Séminaire de Géométrie Algébrique 1960/61, Springer Lecture Notes224, Berlin1971. Zbl0234.14002
- [1] P. Cartier: Relèvements des groupes formels commutatifs, Sém. Bourbaki 1968/69, exposé 359, Springer Lecture Notes179 (1971). Zbl0215.37401MR463365
- [2] I.W. Čerednik: Uniformisierung algebraischer Kurven durch diskrete, kokompakte, arithmetische Untergruppen von PGl2(kw), Mat. Sbor. t. 100: 1, 59-88 (1976). Zbl0329.14015
- [3] C. Chevalley: Deux théorèmes d'arithmetique. Jour. Math. Soc. Japan vol.3 (1951). Zbl0044.03001MR44570
- [4] P. Deligne: Travaux de Shimura, Sém. Bourbaki 1970/71, exposé 389, Springer Lecture Notes244 (1971). Zbl0225.14007MR498581
- [5] M. Demazure: Lectures on p-Divisible Groups, Springer Lect. Notes302 (1972). Zbl0247.14010MR344261
- [6] W.G. Drinfeld: Überlagerungen p-adischer symmetrischer Bereiche. Funk. Analiz t. 10 (1976) 29-40. MR422290
- [7] A. Grothendieck: Groupes de Barsotti-Tate et cristaux, Actes du Cong. intern. math.1970 t. 1, 431-436. Zbl0244.14016MR578496
- [8] Groupes de Barsotti-Tate et cristaux de Dieudonné, Presses de l'Université de Montreal. Zbl0331.14021
- [9] R.P. Langlands: Some contemporary problems with origins in the Jugendtraum, Proc. Symp. Pure Math. A.M.S.28 (1976). Zbl0345.14006MR437500
- [10] On the zeta-functions of some simple Shimura varieties, Canad. Jour. Math. Vol. 31 No. 6 (1979). Zbl0444.14016MR553157
- [11] Sur la mauvaise réduction d'une variété de Shimura, Journées de Géom. Alg. de Rennes1978, astérisque 65, 125-154. Zbl0469.22014
- [12] M. Lazard: Commutative Formal Groups, Springer Lecture Notes443 (1975). Zbl0304.14027MR393050
- [13] B. Mazur, W. Messing: Universal extensions and one-dimensional crystalline cohomology, Springer Lect. Notes370 (1974). Zbl0301.14016MR374150
- [14] W. Messing: The crystals associated to Barsotti-Tate groups, Springer Lect. Notes264 (1972). Zbl0243.14013MR347836
- [15] J.S. Milne: Points on Shimura varieties mod p, Proc. Symp. Pure Math. A.M.S. 33 (1979) part 2. Zbl0418.14022MR546616
- [16] D. Mumford: Geometric invariant theory, Berlin1965. Zbl0147.39304MR214602
- [17] Abelian Varieties, Oxford1970.
- [18] An analytic construction of degenerating curves over complete local rings, Comp. Math.24 (1972) 129-174. Zbl0228.14011MR352105
- [19] F. Oort: Subvarieties of moduli spaces, Invent. Math.24 (1974) 95-119. Zbl0259.14011MR424813
- [20] Which abelian surfaces are products of elliptic curves? Math. Ann.214 (1975) 49-60. Zbl0283.14007MR364264
- [21] J.-P. Serre: Arbres, amalgames, Sl2, astérisque 63, Paris1977. Zbl0369.20013
- [22] G. Shimura: Introduction to the arithmetic theory of automorphic functions, Princeton1971. Zbl0221.10029MR314766
- [23] J. Tate: Endomorphisms of abelian varieties over finite fields, Invent. Math.2 (1966) 134-144. Zbl0147.20303MR206004
- [24] p-divisible groups, Proc. of a Conference on local fields, Berlin1967.
- [25] Classes, d'isogénie des variétés abéliennes sur un corps fini, Sém. Bourbaki 1968/69, exposé 358, Springer Lect. Notes179 (1971).
- [26] J.-P. Serre, J. Tate: Good reduction of abelian varieties, Ann. of Math.88 (1968) 492-517. Zbl0172.46101MR236190
- [27] Th. Zink: Isogenien formaler Gruppen über einem lokal noetherschen Schema, erscheint in Math. Nachr. Zbl0481.14017MR637665