Lectures on resolution of singularities / Janos Kollar.

Format:

Book

Author/Creator:

Kollár, János.

Series:

Annals of mathematics studies ; no. 166.

Annals of mathematics studies ; 166

Language:

English

Subjects (All):

Singularities (Mathematics).

Physical Description:

1 online resource (215 p.)

Edition:

Course Book

Place of Publication:

Princeton, N.J. : Princeton University Press, 2007.

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Contents

Introduction

Chapter 1. Resolution for Curves

Chapter 2. Resolution for Surfaces

Chapter 3. Strong Resolution in Characteristic Zero

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 197-202) and index.

ISBN:

9786612157745

9781282157743

1282157744

9781400827800

1400827809

OCLC:

438732324