The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, 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

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

This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, inc

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch