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<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
2nd ed
出版者 New York ; Tokyo : Springer-Verlag
出版年 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

所蔵情報


理系図3F 数理独自 068222192001516 SER/GTM/71 1992

応研 研究室 071211999000310 413 1992
: us 理系図1F 開架 003211999005371 413.53/F 15 1992
: us 理系図1F 開架 003212004003982 413.53/F 15 1992
: us 理系図3F 数理独自 068222195010560 FARK/10/1 1992

書誌詳細

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

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