Current Trends In Arithmetical Algebraic Geometry
DOWNLOAD
Download Current Trends In Arithmetical Algebraic Geometry PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Current Trends In Arithmetical Algebraic Geometry 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
Current Trends In Arithmetical Algebraic Geometry
DOWNLOAD
Author : Kenneth Ribet
language : en
Publisher:
Release Date : 1987
Current Trends In Arithmetical Algebraic Geometry written by Kenneth Ribet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Arithmetical algebraic geometry categories.
Current Trends In Arithmetical Algebraic Geometry
DOWNLOAD
Author : Kenneth Ribet
language : en
Publisher:
Release Date : 1987
Current Trends In Arithmetical Algebraic Geometry written by Kenneth Ribet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Arithmetical algebraic geometry categories.
Arithmetic Algebraic Geometry
DOWNLOAD
Author : Brian David Conrad
language : en
Publisher: American Mathematical Soc.
Release Date :
Arithmetic Algebraic Geometry written by Brian David Conrad 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 with Mathematics categories.
The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.
Arithmetic Algebraic Geometry
DOWNLOAD
Author : G., van der Geer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Arithmetic Algebraic Geometry written by G., van der Geer 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.
Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.
Recent Progress In Arithmetic And Algebraic Geometry
DOWNLOAD
Author : Yasuyuki Kachi
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Recent Progress In Arithmetic And Algebraic Geometry written by Yasuyuki Kachi 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 2005 with Arithmetic categories.
This proceedings volume resulted from the John H. Barrett Memorial Lecture Series held at the University of Tennessee (Knoxville). The articles reflect recent developments in algebraic geometry. It is suitable for graduate students and researchers interested in algebra and algebraic geometry.
Current Trends In Number Theory
DOWNLOAD
Author : S.D. Adhikari
language : en
Publisher: Springer
Release Date : 2002-01-01
Current Trends In Number Theory written by S.D. Adhikari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.
Contemporary Trends In Algebraic Geometry And Algebraic Topology
DOWNLOAD
Author : Shiing-Shen Chern
language : en
Publisher: World Scientific
Release Date : 2002
Contemporary Trends In Algebraic Geometry And Algebraic Topology written by Shiing-Shen Chern and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.
Birational Geometry Rational Curves And Arithmetic
DOWNLOAD
Author : Fedor Bogomolov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-17
Birational Geometry Rational Curves And Arithmetic written by Fedor Bogomolov 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 2013-05-17 with Mathematics categories.
This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.
Arithmetic Of Algebraic Curves
DOWNLOAD
Author : Serguei A. Stepanov
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-12-31
Arithmetic Of Algebraic Curves written by Serguei A. Stepanov 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 1994-12-31 with Mathematics categories.
Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.
An Invitation To Arithmetic Geometry
DOWNLOAD
Author : Dino Lorenzini
language : en
Publisher: American Mathematical Soc.
Release Date : 1996-02-22
An Invitation To Arithmetic Geometry written by Dino Lorenzini 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 1996-02-22 with Arithmetical algebraic geometry categories.
Extremely carefully written, masterfully thought out, and skillfully arranged introduction ... to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand. ... an excellent guide for beginners in arithmetic geometry, just as an interesting reference and methodical inspiration for teachers of the subject ... a highly welcome addition to the existing literature. --Zentralblatt MATH The interaction between number theory and algebraic geometry has been especially fruitful. In this volume, the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes, which will aid the reader who goes to the next level of this rich subject.