Complex analysis 2: riemann surfaces, several complex variables, abelian functions, higher modular functions
The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory…
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- Full title :Complex analysis 2 : riemann surfaces, several complex variables, abelian functions, higher modular functions / Eberhard Freitag.
Summary
The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions.
Read More ↓Edition Statements
- Publication Date:©2011.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:1 online resource (xiii, 506 p.).
Edition Identifiers
- ISBN:9783642205545, 3642205542
- DOI:10.1007/978-3-642-20554-5
- oclc:ocn905280014
- Dewey Decimal:515/.9
Table of Contents
Ch. I. Riemann surfaces -- Ch. II. Harmonic functions on Riemann surfaces -- Ch. III. Uniformization -- Ch. IV. Compact Riemann surfaces -- Ch. V. Analytic functions of several complex variables -- Ch. VI. Abelian functions -- Ch. VII. Modular forms of several variables -- Ch. VIII. Appendix: algebraic tools.
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