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