Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appear

This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry originated in the seventeenth century wi

Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the

The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varie

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