This book provides an in-depth, state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, collects other key data scattered about the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood prior to this text. Arrangements of congruent convex bodies in Euclidean space are covered, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.
This book provides an in-depth, state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new r...
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. The lecture series and conference lectures...
Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long ...