Rational Points

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Rational Points

Author : Gerd Faltings
ISBN : 9783322803405
Genre : Mathematics
File Size : 39.73 MB
Format : PDF, Kindle
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This book consists of the notes from the seminar Bonn/ Wuppertal 1983/ 84 on Arithmetic Geometry. It contains a proof for the Mordell conjecture and may be useful as an introduction to Arakelov's point of view in diophantine geometry. The third edition includes an appendix in which a detailed survey on the spectacular recent developments in arithmetic algebraic geometry is given. These beautiful new results have their roots in the material covered by this book.
Category: Mathematics
Rational Points
Language: en
Pages: 312
Authors: Gerd Faltings, Gisbert Wüstholz
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

This book consists of the notes from the seminar Bonn/ Wuppertal 1983/ 84 on Arithmetic Geometry. It contains a proof for the Mordell conjecture and may be useful as an introduction to Arakelov's point of view in diophantine geometry. The third edition includes an appendix in which a detailed survey
Rational Points on Elliptic Curves
Language: en
Pages: 332
Authors: Joseph H. Silverman, John T. Tate
Categories: Mathematics
Type: BOOK - Published: 2015-06-02 - Publisher: Springer

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made
Rational Points on Elliptic Curves
Language: en
Pages: 281
Authors: Joseph H. Silverman, John Tate
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book’s accessibility, the informal writing style, and a wealth of exercises
Higher Dimensional Varieties and Rational Points
Language: en
Pages: 310
Authors: Károly Jr. Böröczky, János Kollár, Szamuely Tamas
Categories: Mathematics
Type: BOOK - Published: 2013-12-11 - Publisher: Springer Science & Business Media

Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September
Many Rational Points
Language: en
Pages: 346
Authors: N.E. Hurt
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

This volume provides a source book of examples with relationships to advanced topics regarding Sato-Tate conjectures, Eichler-Selberg trace formula, Katz-Sarnak conjectures and Hecke operators." "The book will be of use to mathematicians, physicists and engineers interested in the mathematical methods of algebraic geometry as they apply to coding theory and