Product Description: 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 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension...read more

Product Description: The book surveys some recent developments in the arithmetic of modular elliptic curves. It places a special emphasis on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the crucial role played by modularity in shedding light on these two closely related issues...read more

Product Description: This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal the study of algebraic curves and varieties with many rational points...read more

Product Description: This book is devoted to the study of rational and integral points on higher­ dimensional algebraic varieties. It contains research papers addressing the arithmetic geometry of varieties which are not of general type, with an em­ phasis on how rational points are distributed with respect to the classical, Zariski and adelic topologies...read more (view table of contents, read Amazon.com's description)

(view table of contents)

(view table of contents)