Bulletin of the American Mathematical Society

MathSciNet review: 1567606
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Book Information:

Author: 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.

[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.

Errett Bishop, Conditions for the analyticity of certain sets, Michigan Math. J. 11 (1964), 289–304. MR 168801

James Carlson and Phillip Griffiths, A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. (2) 95 (1972), 557–584. MR 311935, DOI 10.2307/1970871

Maurizio Cornalba and Phillip Griffiths, Analytic cycles and vector bundles on non-compact algebraic varieties, Invent. Math. 28 (1975), 1–106. MR 367263, DOI 10.1007/BF01389905

Phillip A. Griffiths, Holomorphic mapping into canonical algebraic varieties, Ann. of Math. (2) 93 (1971), 439–458. MR 281954, DOI 10.2307/1970883

Serge Lang, Hyperbolic and Diophantine analysis, Bull. Amer. Math. Soc. (N.S.) 14 (1986), no. 2, 159–205. MR 828820, DOI 10.1090/S0273-0979-1986-15426-1

Wolhelm Stoll, Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlichen. II, Acta Math. 92 (1954), 55–169 (German). MR 76408, DOI 10.1007/BF02392701

Wilhelm Stoll, The growth of the area of a transcendental analytic set. I, II, Math. Ann. 156 (1964), 144–170. MR 166393, DOI 10.1007/BF01359928

[V1] P. Vojta, thesis, Harvard, 1985.

[V2] W. Stoll, Diophantine approximation and value distribution theory, Springer notes (to appear).

[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 0168801




[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).