Theta Functions Kernel Functions And Abelian Integrals
DOWNLOAD
Download Theta Functions Kernel Functions And Abelian Integrals PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Theta Functions Kernel Functions And Abelian Integrals book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Theta Functions Kernel Functions And Abelian Integrals
DOWNLOAD
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
DOWNLOAD
Author : Jun-ichi Igusa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theta Functions written by Jun-ichi Igusa 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 theory of theta functions has a long history; for this, we refer A. Krazer and W. Wirtinger the reader to an encyclopedia article by ("Sources" [9]). We shall restrict ourselves to postwar, i. e., after 1945, periods. Around 1948/49, F. Conforto, c. L. Siegel, A. Well reconsidered the main existence theorems of theta functions and found natural proofs for them. These are contained in Conforto: Abelsche Funktionen und algebraische Geometrie, Springer (1956); Siegel: Analytic functions of several complex variables, Lect. Notes, I.A.S. (1948/49); Well: Theoremes fondamentaux de la theorie des fonctions theta, Sem. Bourbaki, No. 16 (1949). The complete account of Weil's method appeared in his book of 1958 [20]. The next important achievement was the theory of compacti fication of the quotient variety of Siegel's upper-half space by a modular group. There are many ways to compactify the quotient variety; we are talking about what might be called a standard compactification. Such a compactification was obtained first as a Hausdorff space by I. Satake in "On the compactification of the Siegel space", J. Ind. Math. Soc. 20, 259-281 (1956), and as a normal projective variety by W.L. Baily in 1958 [1]. In 1957/58, H. Cartan took up this theory in his seminar [3]; it was shown that the graded ring of modular forms relative to the given modular group is a normal integral domain which is finitely generated over C
Introduction To Algebraic And Abelian Functions
DOWNLOAD
Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Algebraic And Abelian Functions written by Serge Lang 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.
Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.
Theta Functions On Riemann Surfaces
DOWNLOAD
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 Theta Functions And Abelian Automorphisms Groups
DOWNLOAD
Author : R.D.M. Accola
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1975-09
Riemann Surfaces Theta Functions And Abelian Automorphisms Groups written by R.D.M. Accola and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-09 with Mathematics categories.
Riemann Surfaces And Generalized Theta Functions
DOWNLOAD
Author : Robert Clifford Gunning
language : en
Publisher: Springer
Release Date : 1976
Riemann Surfaces And Generalized Theta Functions written by Robert Clifford Gunning and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Abelian Varieties Theta Functions And The Fourier Transform
DOWNLOAD
Author : Alexander Polishchuk
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-21
Abelian Varieties Theta Functions And The Fourier Transform written by Alexander Polishchuk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-21 with Mathematics categories.
Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
Quantization Classical And Quantum Field Theory And Theta Functions
DOWNLOAD
Author : Andrej Tyurin
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Quantization Classical And Quantum Field Theory And Theta Functions written by Andrej Tyurin 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 2003 with Functions, Theta categories.
This book is written by a well-known expert in classical algebraic geometry. Tyurin's research was specifically in explicit computations to vector bundles on algebraic varieties. This is the only available monograph written from his unique viewpoint. Ordinary (abelian) theta functions describe properties of moduli spaces of one-dimensional vector bundles on algebraic curves. Non-abelian theta functions, which are the main topic of this book, play a similar role in the study of higher-dimensional vector bundles. The book presents various aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization and to classical and quantum conformal field theories. The book is an important source of information for specialists in algebraic geometry and its applications to mathematical aspects of quantum field theory.
Kernel Functions Analytic Torsion And Moduli Spaces
DOWNLOAD
Author : John D. Fay
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Kernel Functions Analytic Torsion And Moduli Spaces written by John D. Fay 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 1992 with Mathematics categories.
This work investigates analytic torsion on the moduli space of degree zero stable bundles on a compact Reimann surface. Zeta-function regularization and perturbation-curvature formulas for torsion are developed using a modified resolvent-Szego kernel. The author discusses the bosonization formulas of mathematical physics. Riemann vanishing theorems for torsion, and analytic properties (insertion-residue formulas and heat equations) for the nonabelian theta function and Szego kernel. In addition, he provides background material on bundle-moduli spaces, Quillen metrics, and theta functions.
Abelian Harmonic Analysis Theta Functions And Functional Algebras On A Nilmanifold
DOWNLOAD
Author : L. Auslander
language : en
Publisher: Springer
Release Date : 2006-11-15
Abelian Harmonic Analysis Theta Functions And Functional Algebras On A Nilmanifold written by L. Auslander 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.