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Book Review

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Book Information:

Author: 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 [Enhancements On Off] (What's this?)

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  • [2] A. Ash, D. Mumford, M. Rapoport, and Y. Tai, Smooth compactification of locally symmetric varieties, Lie Groups Volume IV, Math. Sci. Press, 1975. MR 0457437 (56:15642)
  • [3] H. Cartan, Fonctions automorphes, Séminaire 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. MR 853543 (88b:32074)
  • [5] P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Publ. Math. Inst. Hautes Études Sci. 36 (1969), 75-109. MR 0262240 (41:6850)
  • [6] A. Grothendieck, Groupes de monodromie en géometrie algébrique, séminaire de géométrie algébrique du bois-Marie 1967-1969, SGA7 I, Lecture Notes in Math., vol. 288, Springer, New York, 1972. MR 0354656 (50:7134)
  • [7] D. Mumford, Geometric invariant theory, Ergeb. Math. Grenzgeb. (2), vol. 34, Springer-Verlag, Berlin, 1965. MR 0214602 (35:5451)
  • [8] -, On equations defining abelian varieties I, Invent. Math. 1 (1966), 287-354; II, III, Ibid. 3 (1967), 75-135 et 215-244. MR 0204427 (34:4269)
  • [9] -, 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. MR 0201443 (34:1327)
  • [10] P. Roquette, Analytic theory of elliptic functions over local fields, Vandenhoeck & Ruprecht, Göttingen, 1970. MR 0260753 (41:5376)

Review Information:

Reviewer: Michael Raynaud
Journal: Bull. Amer. Math. Soc. 27 (1992), 183-189
DOI: https://doi.org/10.1090/S0273-0979-1992-00292-6
American Mathematical Society