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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64.
・ISBN 978-0-691-08073-4 paper US$ 110.00
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| 著者・編者 | Wu, Hung-his, |
|---|---|
| シリーズ | Annals of Mathematics Studies |
| 出版社 | (Princeton University Press, US) |
| 出版年月 | 1970 |
| ページ数 | 250 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-11169＞ |
解説
This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.