Riemann Surfaces Theta Functions And Abelian Automorphisms Groups
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Riemann Surfaces Theta Functions And Abelian Automorphisms Groups
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Author : R.D.M. Accola
language : en
Publisher: Springer
Release Date : 2006-11-14
Riemann Surfaces Theta Functions And Abelian Automorphisms Groups written by R.D.M. Accola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Riemann Surfaces Theta Functions And Abelian Automorphisms Groups
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Author : Robert D. M. Accola
language : en
Publisher: Springer
Release Date : 1975-01-01
Riemann Surfaces Theta Functions And Abelian Automorphisms Groups written by Robert D. M. Accola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Abel, Groupes d' categories.
The Geometry Of Riemann Surfaces And Abelian Varieties
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Author : José María Muñoz Porras
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
The Geometry Of Riemann Surfaces And Abelian Varieties written by José María Muñoz Porras and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Abelian groups categories.
Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.
Theta Functions On Riemann Surfaces
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Author : J. D. Fay
language : en
Publisher: Springer
Release Date : 2006-11-15
Theta Functions On Riemann Surfaces written by J. D. Fay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
These notes present new as well as classical results from the theory of theta functions on Riemann surfaces, a subject of renewed interest in recent years. Topics discussed here include: the relations between theta functions and Abelian differentials, theta functions on degenerate Riemann surfaces, Schottky relations for surfaces of special moduli, and theta functions on finite bordered Riemann surfaces.
Riemann Surfaces And Generalized Theta Functions
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Author : Robert C. Gunning
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Riemann Surfaces And Generalized Theta Functions written by Robert C. Gunning and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Theta Functions Kernel Functions And Abelian Integrals
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Author : Dennis A. Hejhal
language : en
Publisher: American Mathematical Soc.
Release Date : 1972
Theta Functions Kernel Functions And Abelian Integrals written by Dennis A. Hejhal and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Fonctions abéliennes categories.
Theta Functions With Applications To Riemann Surfaces
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Author : Harry Ernest Rauch
language : en
Publisher:
Release Date : 1974
Theta Functions With Applications To Riemann Surfaces written by Harry Ernest Rauch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Functions, Abelian categories.
Topics In The Theory Of Riemann Surfaces
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Author : Robert D.M. Accola
language : en
Publisher: Springer
Release Date : 2006-11-14
Topics In The Theory Of Riemann Surfaces written by Robert D.M. Accola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.
Theta Functions On Riemann Surfaces
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Author : John David Fay
language : en
Publisher: Springer
Release Date : 1973-01-01
Theta Functions On Riemann Surfaces written by John David Fay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Fonction theta categories.
Advances In The Theory Of Riemann Surfaces
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Author : Lars Valerian Ahlfors
language : en
Publisher: Princeton University Press
Release Date : 1971-07-21
Advances In The Theory Of Riemann Surfaces written by Lars Valerian Ahlfors and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-07-21 with Mathematics categories.
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.