Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567968
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Serge Lang and William Cherry
Title:
Topics in Nevanlinna theory
Additional book information:
Springer-Verlag, Berlin, Heidelberg, and New~York, 1990, 174 pp., US$18.00. ISBN 3-540-52785-0.
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
Phillip Griffiths and James King, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973), 145–220. MR 427690, DOI 10.1007/BF02392265
Charles F. Osgood, A number theoretic-differential equations approach to generalizing Nevanlinna theory, Indian J. Math. 23 (1981), no. 1-3, 1–15. MR 722894
K. F. Roth, Rational approximations to algebraic numbers, Mathematika 2 (1955), 1–20; corrigendum, 168. MR 72182, DOI 10.1112/S0025579300000644
Wilhelm Stoll, The Ahlfors-Weyl theory of meromorphic maps on parabolic manifolds, Value distribution theory (Joensuu, 1981) Lecture Notes in Math., vol. 981, Springer, Berlin, 1983, pp. 101–219. MR 699135, DOI 10.1007/BFb0066385
Paul Vojta, Diophantine approximations and value distribution theory, Lecture Notes in Mathematics, vol. 1239, Springer-Verlag, Berlin, 1987. MR 883451, DOI 10.1007/BFb0072989
- [CG]
- J. Carlson and P. Griffiths, A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. Math. 95 (1972), 557-584. MR 0311935 (47:497)
- [GK]
- P. Griffiths and J. King, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973), 145-220. MR 0427690 (55:721)
- [O]
- C. Osgood, A number theoretic-differential equations approach to generalizing Nevanlinna theory, Indian J. of Math. 23 (1981), 1-15. MR 722894 (85b:30043)
- [R]
- K. F. Roth, Rational approximations to algebraic numbers, Mathematika 2 (1955), 1-20. MR 0072182 (17:242d)
- [S]
- W. Stoll, The Ahlfors-Weyl theory of meromorphic maps on parabolic manifolds, Lecture Notes in Math., vol. 981, Springer-Verlag, New York, 1981. MR 699135 (85c:32045)
- [V]
- P. Vojta, Diophantine approximations and value distribution theory, Lecture Notes in Math., vol. 1239, Springer-Verlag, New York, 1987. MR 883451 (91k:11049)
Review Information:
Reviewer:
Paul Vojta
Journal:
Bull. Amer. Math. Soc.
26 (1992), 153-157
DOI:
https://doi.org/10.1090/S0273-0979-1992-00245-8
