Riemann surfaces

＜図書＞
Riemann surfaces

責任表示	H.M. Farkas, I. Kra
シリーズ	Graduate texts in mathematics ; 71
データ種別	図書
版	2nd ed
出版情報	New York ; Tokyo : Springer-Verlag , c1992
本文言語	英語
大きさ	xvi, 363 p. : ill. ; 25 cm
概要	This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are deve...oped 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. Of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6870165

一般注記	Bibliography: p. [356]-358 Includes index
著者標目	Farkas, Hershel M., 1939- Kra, Irwin
件　名	LCSH:Riemann surfaces
分　類	LCC:QA333 DC:515/.223 NDC8:413.53
書誌ID	1000037142
ISBN	0387977031
NCID	BA13649841
巻冊次	: us ; ISBN:0387977031 : gw ; ISBN:3540977031
登録日	2009.09.10
更新日	2009.11.02