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Compact Riemann Surfaces

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ISBN-10: 3764327421

ISBN-13: 9783764327422

Edition: 1992

Authors: Raghavan Narasimhan

List price: $49.95
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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
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Book details

List price: $49.95
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