This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional vari

Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especia

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

The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of kn

This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held fro