Diophantine Approximation And Abelian Varieties

Author : Bas Edixhoven
Publisher : Springer
ISBN 13 : 3540482083
Total Pages : 136 pages
Book Rating : 4.86/5 ( download)

DOWNLOAD NOW!

Download or read book Diophantine Approximation and Abelian Varieties written by Bas Edixhoven and published by Springer. This book was released on 2009-02-05 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.

Author :
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.97/5 ( download)

DOWNLOAD NOW!

Download or read book Diophantine Approximation and Abelian Varieties written by and published by . This book was released on 1993 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bas Edixhoven
Publisher :
ISBN 13 : 9783662179031
Total Pages : 144 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

Download or read book Diophantine Approximation and Abelian Varieties written by Bas Edixhoven and published by . This book was released on 2014-01-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Min Ru
Publisher : World Scientific
ISBN 13 : 9811233527
Total Pages : 443 pages
Book Rating : 4.24/5 ( download)

DOWNLOAD NOW!

Download or read book Nevanlinna Theory And Its Relation To Diophantine Approximation (Second Edition) written by Min Ru and published by World Scientific. This book was released on 2021-03-10 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.

Author : Marc Hindry
Publisher : Springer Science & Business Media
ISBN 13 : 1461212103
Total Pages : 574 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

Download or read book Diophantine Geometry written by Marc Hindry and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

Author : Umberto Zannier
Publisher : Springer
ISBN 13 : 8876425209
Total Pages : 169 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

Download or read book On Some Applications of Diophantine Approximations written by Umberto Zannier and published by Springer. This book was released on 2015-02-13 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel’s paper. To end, it presents three modern proofs of Siegel’s theorem on integral points.

Author : Jan-Hendrik Evertse
Publisher : Cambridge University Press
ISBN 13 : 1316432351
Total Pages : 381 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book Unit Equations in Diophantine Number Theory written by Jan-Hendrik Evertse and published by Cambridge University Press. This book was released on 2015-12-30 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 1556080085
Total Pages : 556 pages
Book Rating : 4.81/5 ( download)

DOWNLOAD NOW!

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1993-01-31 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Author : Bas Edixhoven
Publisher : Springer
ISBN 13 : 9783540575283
Total Pages : 148 pages
Book Rating : 4.86/5 ( download)

DOWNLOAD NOW!

Download or read book Diophantine Approximation and Abelian Varieties written by Bas Edixhoven and published by Springer. This book was released on 1993 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.

Author : G. O. Jones
Publisher : Cambridge University Press
ISBN 13 : 1107462495
Total Pages : 235 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book O-Minimality and Diophantine Geometry written by G. O. Jones and published by Cambridge University Press. This book was released on 2015-08-13 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the researcher up to date with recent applications of mathematical logic to number theory.