This book has two main aims. Firstly, to give a summary of the theoretical work in algebraic curves over finite fields with many rational points. Secondly, to discuss the applications of this theory to areas such as information theory (algebraic coding theory) and computational …
Discussion of theory and applications of algebraic curves over finite fields with many rational points.
"The theory of elliptic curves invovles a pleasing blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathemati…
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematic…
"The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will apprecitate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that …
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides …
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides …
"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 P…
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 Po…
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. Read more The pro…
Rational points, rational curves, and entire holomorphic curves on projective varieties: CRM Short Thematic Program Rational Points, Ratio…
by CRM Short Thematic Program Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, Québec, Université de Montréal, Centre de recherches mathématiques
Rational points, rational curves, and entire holomorphic curves on projective varieties: CRM short thematic program, June 3-28, 2013, Cent…
by Roth, Mike, Tschinkel, Yuri, Gasbarri, Carlo, Lu, Steven, American Mathematical Society, Université de Montréal., Centre de recherches mathématiques
fromCentre de Recherches Mathématiques Proceedings
"The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on speci…
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. Read more The pro…