Riemann Surfaces (Graduate Texts in Mathematics) (v. 71)读书介绍
类别 | 页数 | 译者 | 网友评分 | 年代 | 出版社 |
---|---|---|---|---|---|
书籍 | 382页 | 1991 | Springer |
定价 | 出版日期 | 最近访问 | 访问指数 |
---|---|---|---|
USD 84.95 | 1991-12-23 … | 2022-08-16 … | 66 |
This text covers Riemann surface theory from elementary aspects to the frontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functio...
作者简介This text covers Riemann surface theory from elementary aspects to the frontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented, as are alternate proofs for the most important results, showing the diversity of approaches to the subject. This title is of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics.
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