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Riemann Surfaces and Generalized Theta Functions (Paperback, Softcover reprint of the original 1st ed. 1976) Loot Price: R2,543 Discovery Miles 25 430
Riemann Surfaces and Generalized Theta Functions (Paperback, Softcover reprint of the original 1st ed. 1976): R C Gunning
Riemann Surfaces and Generalized Theta Functions (Paperback, Softcover reprint of the original 1st ed. 1976): R C Gunning

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Riemann Surfaces and Generalized Theta Functions (Paperback, Softcover reprint of the original 1st ed. 1976)

R C Gunning

Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge, 91

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Loot Price R2,543 Discovery Miles 25 430

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The investigation of the relationships between compact Riemann surfaces (al- gebraic curves) and their associated complex tori (Jacobi varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic submanifold in its associated torus; and various spaces of linear equivalence elasses of divisors on the surface (or equivalently spaces of analytic equivalence elasses of complex line bundies over the surface), elassified according to the dimensions of the associated linear series (or the dimensions of the spaces of analytic cross-sections), are naturally realized as analytic subvarieties of the associated torus. One of the most fruitful of the elassical approaches to this investigation has been by way of theta functions. The space of linear equivalence elasses of positive divisors of order g -1 on a compact connected Riemann surface M of genus g is realized by an irreducible (g -1)-dimensional analytic subvariety, an irreducible hypersurface, of the associated g-dimensional complex torus J(M); this hyper- 1 surface W- r;;;, J(M) is the image of the natural mapping Mg- -+J(M), and is g 1 1 birationally equivalent to the (g -1)-fold symmetric product Mg- jSg-l of the Riemann surface M.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge, 91
Release date: December 2011
First published: 1976
Authors: R C Gunning
Dimensions: 244 x 170 x 9mm (L x W x T)
Format: Paperback - Trade
Pages: 180
Edition: Softcover reprint of the original 1st ed. 1976
ISBN-13: 978-3-642-66384-0
Barcode: 9783642663840
Categories: Promotions
Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Mathematics > General
LSN: 3-642-66384-2

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