Compact Riemann Surfaces

Name: Compact Riemann Surfaces
Price: 62.01 USD
Availability: InStock
ISBN: 9783764327422

ISBN-10: 3764327421

ISBN-13: 9783764327422

Edition: 1992

Authors: Raghavan Narasimhan

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Description:

The lecture notes forming a course given by the author at the Eidgenossische Technische Hochschule, Zurich, from November 1984 to February 1985. Presents the basic theorems about the Jacobian from Riemann's own point of view. Annotation copyrighted by Book News, Inc., Portland, OR

Book details

Copyright year: 1992
Publisher: Birkhauser Boston
Publication date: 9/1/1992
Binding: Paperback
Pages: 122
Size: 7.00" wide x 9.75" long x 0.50" tall
Weight: 0.594
Language: English




Algebraic functions



Riemann surfaces



The sheaf of germs of holomorphic functions



The Riemann surface of an algebraic function



Sheaves



Vector bundles, line bundles and divisors



Finiteness theorems



The Dolbeault isomorphism



Weyl's lemma and the Serre duality theorem



The Riemann-Roch theorem and some applications



Further properties of compact Riemann surfaces



Hyperelliptic curves and the canonical map



Some geometry of curves in projective space



Bilinear relations



The Jacobian and Abel's theorem



The Riemann theta function



The theta divisor



Torelli's theorem



Riemann's theorem on the singularities of [Theta]


References