Book of Donmon Teith

The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic varieties

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality

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