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Book Review
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Book Information
Author(s):
B. V. Shabat
Title:
Distribution of values of holomorphic mappings
Additional book information:
translated from Russian by James R. King. Translations of Mathematical Monographs, vol. 61, American Mathematical Society, Providence, R. I., 1985, v + 225 pp., $79.00. ISBN 0-8218-4514-4
References:
- [Al] L. Ahlfors, Über die Anwendung differentialgeometrischer Methoden zur Untersuchung von Überlagerungsflächen, Acta Soc. Sci. Fennicae 2, No. 6 (1937), 1-17.
- [A2] Review of [Al]: Zentralblatt f. Math. 17 (1938), 36-37.
- [B] E. Bishop, Conditions for analyticity of certain sets, Michigan Math. J. 11 (1964), 289-304. MR 168801
- [CaG] J. Carlson and P. Griffiths, A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. (2) 95 (1972), 557-584. MR 311935
- [CoG] M. Cornalba and P. Griffiths, Analytic cycles and vector bundles on noncompact algebraic varieties, Invent. Math. 26 (1975), 402-406. MR 367263
- [G] P. Griffiths, Holomorphic mappings into canonical algebraic varieties, Ann. of Math. (2) 93 (1971), 229-243. MR 281954
- [L] S. Lang, Hyperbolic and Diophantine analysis, Bull. Amer. Math. Soc. (N.S.) 14 (1986), 159-205. MR 828820
- [S1] W. Stoll, Die beiden Hauptsätze der Wertverteilungstheorie be Funktionen mehrerer komplexer Veranderlichen. I, II, Acta Math. 9 (1953), 1-115; 92 (1954), 55-169. MR 76408
- [S2] W. Stoll, The growth of the area of a transcendental analytic set. I, II, Math. Ann. 156 (1964), 47-78; 144-170. MR 166393
- [V1] P. Vojta, thesis, Harvard, 1985.
- [V2] W. Stoll, Diophantine approximation and value distribution theory, Springer notes (to appear).
Additional Information:
Reviewer(s):
James A.
Carlson
Review Information:
Journal:
Bull. Amer. Math. Soc.
16
(1987),
171-176.
DOI:
10.1090/S0273-0979-1987-15503-0
PII:
S 0273-0979(1987)15503-0
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