Bulletin of the American Mathematical Society

MathSciNet review: 1567983
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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.

M. Artin, Algebraic approximation of structures over complete local rings, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 23–58. MR 268188

A. Ash, D. Mumford, M. Rapoport, and Y. Tai, Smooth compactification of locally symmetric varieties, Lie Groups: History, Frontiers and Applications, Vol. IV, Math Sci Press, Brookline, Mass., 1975. MR 0457437

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H. Cartan, Fonctions automorphes, Séminaire ENS 1957/58, Benjamin, New York, 1967.

Ching-Li Chai, Compactification of Siegel moduli schemes, London Mathematical Society Lecture Note Series, vol. 107, Cambridge University Press, Cambridge, 1985. MR 853543, DOI 10.1017/CBO9780511721298

P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 75–109. MR 262240

Groupes de monodromie en géométrie algébrique. I, Lecture Notes in Mathematics, Vol. 288, Springer-Verlag, Berlin-New York, 1972 (French). Séminaire de Géométrie Algébrique du Bois-Marie 1967–1969 (SGA 7 I); Dirigé par A. Grothendieck. Avec la collaboration de M. Raynaud et D. S. Rim. MR 0354656

David Mumford, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 34, Springer-Verlag, Berlin-New York, 1965. MR 0214602

D. Mumford, On the equations defining abelian varieties. I, Invent. Math. 1 (1966), 287–354. MR 204427, DOI 10.1007/BF01389737

David Mumford, Picard groups of moduli problems, Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963) Harper & Row, New York, 1965, pp. 33–81. MR 0201443

Peter Roquette, Analytic theory of elliptic functions over local fields, Hamburger Mathematische Einzelschriften (N.F.), Heft 1, Vandenhoeck & Ruprecht, Göttingen, 1970. MR 0260753

[1]

M. Artin, Algebraic approximation of structures over complete local rings, Publ. Math. Inst. Hautes Études Sci. 36 (1969), 23-58. MR 0268188 (42:3087)

[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)

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D. Mumford, Geometric invariant theory, Ergeb. Math. Grenzgeb. (2), vol. 34, Springer-Verlag, Berlin, 1965. MR 0214602 (35:5451)

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-, 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)

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-, 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)

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P. Roquette, Analytic theory of elliptic functions over local fields, Vandenhoeck & Ruprecht, Göttingen, 1970. MR 0260753 (41:5376)