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Book Review
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Book Information
Author(s):
Gerd Faltings and Ching-Li Chai
Title:
Degeneration of Abelian Varieties
Additional book information:
Ergeb. Math. Grenzgeb. (3), vol. 22, Springer-Verlag, New York, 1990, 316 pp., US$39.80. ISBN 3-540-52015-5
References:
- [1]
- M. Artin, Algebraic approximation of structures over complete local rings, Publ. Math. Inst. Hautes \'Etudes Sci. \textbf{36} (1969), 23--58.
- [2]
- A. Ash, D. Mumford, M. Rapoport, and Y. Tai, Smooth compactification of locally symmetric varieties, Lie Groups Volume IV, Math. Sci. Press, 1975.
- [3]
- H. Cartan, Fonctions automorphes, S\'eminaire ENS 1957/58, Benjamin, New York, 1967.
- [4]
- C.-L. Chai, Compactification of Seigel moduli schemes, London Math. Soc. Lecture Note Ser., vol. 107, Cambridge Univ. Press, Cambridge, 1985.
- [5]
- P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Publ. Math. Inst. Hautes \'Etudes Sci. \textbf{36} (1969), 75--109.
- [6]
- A. Grothendieck, Groupes de monodromie en g\'eometrie alg\'ebrique, s\'eminaire de g\'eom\'etrie alg\'ebrique du bois-Marie 1967--1969, SGA7 I, Lecture Notes in Math., vol. 288, Springer, New York, 1972.
- [7]
- D. Mumford, Geometric invariant theory, Ergeb. Math. Grenzgeb. (2), vol. 34, Springer-Verlag, Berlin, 1965.
- [8]
- D. Mumford, On equations defining abelian varieties {\rm I}, Invent. Math. {\bf 1} (1966), 287--354.
- [9]
- D. Mumford, Picard groups of moduli problems, Arithmetical Algebraic Geometry, Proceedings of a Conference at Purdue 1963 (O. F. G. Schilling, ed.), Harper's Series in Modern Mathematics, Harper \& Row, New York, 1965 \year 1965.
- [10]
- P. Roquette, Analytic theory of elliptic functions over local fields, Vandenhoeck \& Ruprecht, G\"ottingen, 1970.
Additional Information:
Reviewer(s):
Michael
Raynaud
Review Information:
Journal:
Bull. Amer. Math. Soc.
27
(1992),
183-189.
DOI:
10.1090/S0273-0979-1992-00292-6
PII:
S 0273-0979(1992)00292-6
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