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Book Review

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Book Information

Author(s): János Kollár
Title: Shafarevich maps and automorphic forms
Additional book information: Princeton Univ. Press, Princeton, NJ, 1995, 199, $37.50, 0-691-04381-7

References:

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A. Andreotti, E. Vesentini, Carleman estimates for the Laplace-Beltrami equation on complex manifolds, Publ. IHES 25 (1965) 81-130. MR 30:5333

[A]
M. Atiyah, Elliptic operators, discrete groups and Von Neumann algebras, Astérisque 32-33 (1976), 43-72. MR 54:8741

[C]
F. Campana, Remarque sur le revêtement universal des varieties kälheriennes compactes, Bull. Soc. Math. France 122 (1994), 255-284. MR 95f:32036

[GH]
P. Griffiths, J. Harris, Principles of Algebraic Geometry, Wiley-Interscience (1978). MR 80b:14001

[GPR]
H. Grauert, T. Peternell, R. Remmert, Several Complex Variables VII, Encyclop. Math. 74, Springer-Verlag (1994). MR 1:326 617

[G]
M. Gromov, Kähler hyperbolicity and $L_2$ Hodge theory, J. Diff. Geom. 33 (1991), 263-294. MR 92a:58133

[Gu]
R. V. Gurjar, Coverings of algebraic varieties, Adv. Stud. Pure Math. 10, 179-184, Kinokunyiya-North Holland (1987). MR 90e:14012

[H]
F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer-Verlag (1978). MR 1:335 917

[KR]
L. Katzarkov, M. Ramachandran, On the Shafarevich conjecture for surfaces, in preparation.

[K]
J. Kollár, Shafarevich maps and plurigenera of algebraic varieties, Inv. Math. 113 (1993), 177-215. MR 94m:14018

[N]
T. Napier, Convexity properties of coverings of smooth projective varieties, Math. Ann. 286 (1990), 433-479. MR 91g:32015

[S]
C. L. Siegel, Topics in complex function theory, vol. 2, Wiley-Interscience (1971). MR 90h:30003

[Sh]
I. Shafarevich, Basic Algebraic Geometry, Springer-Verlag (1977). MR 56:5538

Additional Information:

Reviewer(s):
Donu Arapura
Affiliation: Purdue University
Email: arapura@math.purdue.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 33 (1996), 283-286.
DOI: 10.1090/S0273-0979-96-00650-7
PII: S 0273-0979(96)00650-7
Copyright of article: Copyright 1996, American Mathematical Society

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