UID:
almafu_9958352512202883
Format:
1 online resource (208 pages) :
,
illustrations.
Edition:
Course Book.
Edition:
Electronic reproduction. Princeton, N.J. : Princeton University Press, 2007. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9781400827800
Series Statement:
Annals of Mathematics Studies, 166
Content:
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.
Note:
Frontmatter --
,
Contents --
,
Introduction --
,
Chapter 1. Resolution for Curves --
,
Chapter 2. Resolution for Surfaces --
,
Chapter 3. Strong Resolution in Characteristic Zero --
,
Bibliography --
,
Index.
,
In English.
Language:
English
DOI:
10.1515/9781400827800
URL:
https://doi.org/10.1515/9781400827800
URL:
https://doi.org/10.1515/9781400827800
