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Rapoport, M.

Compactifications de l’espace de modules de Hilbert-Blumenthal. (French) Zbl 0386.14006

Compos. Math. 36, 255-335 (1978).
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Cited in 7 Reviews
Cited in 74 Documents

MSC:

14D20 Algebraic moduli problems, moduli of vector bundles
14Pxx Real algebraic and real-analytic geometry
11F27 Theta series; Weil representation; theta correspondences
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References:

[1] M. Artin : Algebraization of Formal Moduli, I, in A Collection of Mathematical Papers in Honor of K. Kodaira , University of Tokyo Press, 1969. · Zbl 0205.50402
[2] M. Artin : Algebraization of Formal Moduli, II . Ann. of Math., 91 (1) (1970) 88. · Zbl 0177.49003 · doi:10.2307/1970602
[3] M. Artin : Construction Techniques for Algebraic Spaces . Actes du Congrès Intern. Math., 1970, Tome1, 479. · Zbl 0232.14003
[4] P. Deligne et D. Mumford , The Irreducibility of the Space of Curves of Given Genus . Publ. Math. IHES, 36 (1969). · Zbl 0181.48803 · doi:10.1007/BF02684599
[5] P. Deligne : Theorie de Hodge III . Publ. Math. IHES, 44 (1975). · Zbl 0237.14003 · doi:10.1007/BF02685881
[6] P. Deligne et M. Rapoport : Les Schémas de Modules de Courbes Elliptiques, in Proceedings of International Summer School on Modular Functions , Springer Lecture Notes, 349. · Zbl 0281.14010
[7] H. Grauert et L. Gerritzen : Die Azyklizität der affinoiden Überdeckungen, in Global Analysis. Papers in Honor of K. Kodaira , University of Tokyo Press, 1969. · Zbl 0197.17303
[8] A. Grothendieck : Groupes de Barsotti-Tate et Cristaux . Actes du Congrès Intern. Math., 1970, Tome 1, 431. · Zbl 0244.14016
[9] H. Hironaka : Flattening of complex-analytic maps (à paraitre). · Zbl 0307.32010
[10] H. Hironaka , M. Lejeune-Jalabert et B. Teissier : Platificateur local en Géométrie analytique et aplatissement local, dans Singularités à Cargèse , Astérisque 7 et 8, 1973, 441. · Zbl 0287.14007
[11] D. Knutson : Algebraic Spaces . Springer Lecture Notes, 203. · Zbl 0221.14001 · doi:10.1007/BFb0059750
[12] W. Messing : The Crystals Associated to Barsotti-Tate Groups: with Applications to Abelian Schemes . Springer Lecture Notes, 264. · Zbl 0243.14013 · doi:10.1007/BFb0058301
[13] D. Mumford : Picard Groups of Moduli Problems , in Arithmetical Algebraic Geometry. Harper and Row , 1965, 33. · Zbl 0187.42801
[14] D. Mumford : Abelian Varieties . Oxford University Press, 1970. · Zbl 0223.14022
[15] D. Mumford : An Algebraic Construction of Degenerating Abelian Varieties over a Complete Ring . Comp. Math., 24 (3) (1972) 239. · Zbl 0241.14020
[16] D. Mumford , G. Kempf , F. Knudsen et B. Saint-Donat : Toroidal Embeddings, I . Springer Lecture Notes, 339. · Zbl 0271.14017 · doi:10.1007/BFb0070318
[17] D. Mumford , A. Ash , M. Rapoport et Y. Tai : Nonsingular compactifications of locally symmetric varieties . Math. Sci. Press, 1975. · Zbl 0334.14007
[18] D. Mumford : Geometric Invariant Theory . Springer, Berlin, 1965. · Zbl 0147.39304
[19] M. Raynaud : Faisceaux Amples sur les Schémas en Groupes et les Espaces Homogènes . Springer Lecture Notes, 119. · Zbl 0195.22701 · doi:10.1007/BFb0059504
[20] M. Raynaud : Géométrie rigide-analytique. Table ronde d’analyse non archimédienne, Paris , 1972, Mémoire 39-40 de la Soc. Math. de France. · Zbl 0299.14003
[21] M. Raynaud : Variétés abéliennes et géométrie rigide . Actes du Congrès Intern. Math., 1970, Tome 1, 473. · Zbl 0223.14021
[22] M. Raynaud et L. Gruson : Critères de platitude et de projectivité . Inv. Math., 13 (1971) 1. · Zbl 0227.14010 · doi:10.1007/BF01390094
[23] M. Schlessinger : Functors of Artin Rings . Trans. Amer. Math. Soc., 130 (1968) 205. · Zbl 0167.49503 · doi:10.2307/1994967
[24] J. Tate : Rigid-Analytic Spaces . Inv. Math., 12 (1971) 257. · Zbl 0212.25601 · doi:10.1007/BF01403307
[25] I. Satake : On the Arithmetic of Tube Domains . Bull. Amer. Math. Soc., 79 (1973) 1076. · Zbl 0332.32023 · doi:10.1090/S0002-9904-1973-13342-7
[26] F. Hirzebruch : Hilbert Modular Surfaces . Monographie 21 de L’Enseignement Mathématique (1973). · Zbl 0285.14007
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