​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.

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

Based on survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the University of Gottingen, this tile is i

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

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.