ENGLISH

Lectures on Resolution of Singularities

By Janos Kollar

Book information

Publisher
Princeton University Press
Year
2007
ISBN
0691129231, 9780691129235
Language
english
Format
PDF
Filesize
2 MB (2303420 bytes)
Series
Annals of Mathematics Studies 166
Pages
198\215
Topic
Education
Time added
2011-06-04 13:46:07

Description

Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, J?nos Koll?r 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. Koll?r 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.

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