Introduction to Algebraic and Abelian Functions PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Introduction to Algebraic and Abelian Functions PDF full book. Access full book title Introduction to Algebraic and Abelian Functions by Serge Lang. Download full books in PDF and EPUB format.
Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461257409
Category : Mathematics
Languages : en
Pages : 178
Get Book
Book Description
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.
Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461257409
Category : Mathematics
Languages : en
Pages : 178
Get Book
Book Description
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.
Author:
Publisher:
ISBN: 9780821845424
Category : Functions, Abelian
Languages : en
Pages : 175
Get Book
Book Description
Author: Alekse_ Ivanovich Markushevich
Publisher: American Mathematical Soc.
ISBN: 9780821898369
Category : Mathematics
Languages : en
Pages : 188
Get Book
Book Description
Historical introduction. The Jacobian inversion problem Periodic functions of several complex variables Riemann matrices. Jacobian (intermediate) functions Construction of Jacobian functions of a given type. Theta functions and Abelian functions. Abelian and Picard manifolds Appendix A. Skew-symmetric determinants Appendix B. Divisors of analytic functions Appendix C. A summary of the most important formulas
Author: Kenkichi Iwasawa
Publisher: American Mathematical Soc.
ISBN: 0821819690
Category : Mathematics
Languages : en
Pages : 314
Get Book
Book Description
This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint. Directed at graduate students, the book requires some basic knowledge of algebra, topology, and functions of a complex variable.
Author: Vijaya Kumar Murty
Publisher:
ISBN: 9781470438494
Category : Abelian varieties
Languages : en
Pages : 112
Get Book
Book Description
The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the Abel-Jacobi theorem, Riemann's relations and the Lefschetz theorem on projective embeddings over the complex numbers in the spirit of S. Lang's book Introduction to algebraic and abelian functions. Then the Jacobians of Fermat curves as well as some modular curves are discussed. Finally, as an application.
Author: P.M. Cohn
Publisher: CRC Press
ISBN: 1351078038
Category : Mathematics
Languages : en
Pages : 204
Get Book
Book Description
This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.
Author: V. Kumar Murty
Publisher: American Mathematical Soc.
ISBN: 9780821870051
Category : Abelian groups
Languages : en
Pages : 136
Get Book
Book Description
This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, number theory, and complex analysis. The book is based on notes from a course given at Concordia University and would be useful for independent study or as a textbook for graduate courses in complex analysis, Riemann surfaces, number theory, or analytic geometry. Murty works mostly over the complex numbers, discussing the theorem of Abel-Jacobi and Lefschetz's theorem on projective embeddings. After presenting some examples, Murty touches on Abelian varieties over number fields, as well as the conjecture of Tate (Faltings's theorem) and its relation to Mordell's conjecture. References are provided to guide the reader in further study.
Author: Henry Frederick Baker
Publisher: Cambridge University Press
ISBN: 9780521498777
Category : Mathematics
Languages : en
Pages : 724
Get Book
Book Description
Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincaré, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century it has been enriched by the methods and ideas of topology, commutative algebra and Grothendieck's schemes seemed to have replaced once and forever the somewhat naive language of classical algebraic geometry. This book contains more than its modest title suggests. Written in 1897, its scope was as broad as it could possibly be, namely to cover the whole of algebraic geometry, and associated theories. The subject is discussed by Baker in terms of transcendental functions, and in particular theta functions. Many of the ideas put forward are of continuing relevance today, and some of the most exciting ideas from theoretical physics draw on work presented here.
Author: Henry Frederick Baker
Publisher:
ISBN:
Category : Functions, Abelian
Languages : en
Pages : 834
Get Book
Book Description
Author: Meinolf Geck
Publisher: Clarendon Press
ISBN: 0191663727
Category : Mathematics
Languages : en
Pages : 320
Get Book
Book Description
An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles. Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type. The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoy some of the new approaches to classical results. The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.
