Screen LibraryLectures on resolution of singularities (am-166) /
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. K...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Princeton University Press,
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| Publisher Address: | Princeton, N.J. : |
| Publication Dates: |
[2007] ©2007 |
| Literature type: | eBook |
| Language: | English |
| Edition: | Course Book. |
| Series: |
Annals of mathematics studies;
166 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9781400827800 http://www.degruyter.com/doc/cover/9781400827800.jpg |
| Summary: |
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. |
| Carrier Form: | 1 online resource (208 pages) : illustrations. |
| ISBN: | 9781400827800 |
| Index Number: | QA614 |
| CLC: | O187 |
| Contents: |
Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- Index. |