Lectures on Resolution of Singularities (AM-166)

Front Cover
Princeton University Press, Jan 10, 2009 - Mathematics - 208 pages
0 Reviews
Reviews aren't verified, but Google checks for and removes fake content when it's identified

Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollár goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written in an informal yet lucid style, this book is aimed at readers who are interested in both the historical roots of the modern methods and in a simple and transparent proof of this important theorem.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Chapter 1 Resolution for Curves
5
Chapter 2 Resolution for Surfaces
67
Chapter 3 Strong Resolution in Characteristic Zero
117
Bibliography
197
Index
203
Copyright

Other editions - View all

Common terms and phrases

About the author (2009)

János Kollár is a professor of Mathematics at Princeton University.

Bibliographic information