Algebraic Geometry And Theta Functions

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Algebraic Geometry And Theta Functions

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Author : Arthur Byron Coble
language : en
Publisher:
Release Date : 2008

Algebraic Geometry And Theta Functions written by Arthur Byron Coble and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Functions, Theta categories.

Algebraic Geometry And Theta Functions

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Author : Arthur B. Coble
language : en
Publisher: American Mathematical Soc.
Release Date : 1929-12-31

Algebraic Geometry And Theta Functions written by Arthur B. Coble 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 1929-12-31 with Mathematics categories.

This book is the result of extending and deepening all questions from algebraic geometry that are connected to the central problem of this book: the determination of the tritangent planes of a space curve of order six and genus four, which the author treated in his Colloquium Lecture in 1928 at Amherst. The first two chapters recall fundamental ideas of algebraic geometry and theta functions in such fashion as will be most helpful in later applications. In order to clearly present the state of the central problem, the author first presents the better-known cases of genus two (Chapter III) and genus three (Chapter IV). The case of genus four is discussed in the last chapter. The exposition is concise with a rich variety of details and references.

Introduction To Algebraic And Abelian Functions

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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 1982-12

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 1982-12 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.

Abelian Varieties Theta Functions And The Fourier Transform

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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.

Algebraic Geometry And Theta Functions

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Author : Arthur Byron Coble
language : en
Publisher:
Release Date : 1929

Algebraic Geometry And Theta Functions written by Arthur Byron Coble and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1929 with Mathematics categories.

Algebraic Geometry And Theta Functions

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Author : Arthur Byron Coble (mathématicien).)
language : en
Publisher:
Release Date : 1961

Algebraic Geometry And Theta Functions written by Arthur Byron Coble (mathématicien).) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.

Tata Lectures On Theta Iii

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-22

Tata Lectures On Theta Iii written by David Mumford 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 2010-10-22 with Mathematics categories.

This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

Ramanujan S Theta Functions

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Author : Shaun Cooper
language : en
Publisher: Springer
Release Date : 2017-06-12

Ramanujan S Theta Functions written by Shaun Cooper and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-12 with Mathematics categories.

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

Tata Lectures On Theta I

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Tata Lectures On Theta I written by David Mumford 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 2007-06-25 with Mathematics categories.

This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions. These notes grew out of a series of lectures given at the Tata Institute of Fundamental Research in the period October, 1978, to March, 1979, on which notes were taken and excellently written up by C. Musili and M. Nori. I subsequently lectured at greater length on the contents of Chapter III at Harvard in the fall of 1979 and at a Summer School in Montreal in August, 1980, and again notes were very capably put together by E. Previato and M. Stillman, respectively. Both the Tata Institute and the University of Montreal publish lecture note series in which I had promised to place write-ups of my lectures there. However, as the project grew, it became clear that it was better to tie all these results together, rearranging and consolidating the material, and to make them available from one place. I am very grateful to the Tata Institute and the University of Montreal for permission to do this, and to Birkhauser-Boston for publishing the final result. The first 2 chapters study theta functions strictly from the viewpoint of classical analysis. In particular, in Chapter I, my goal was to explain in the simplest cases why the theta functions attracted attention.

Quantization Classical And Quantum Field Theory And Theta Functions

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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.