Lectures on Resolution of Singularities (AM-166)
Book information
Description
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.
Similar books
Families of Varieties of General Type
2023 · PDF
Shafarevich Maps and Automorphic Forms
2014 · PDF
What Determines an Algebraic Variety?
2023 · PDF
Families of Varieties of General Type
2023 · PDF
Higher Dimensional Varieties and Rational Points
2003 · DJVU
Birational Geometry of Algebraic Varieties
1998 · DJVU
Compact Moduli Spaces and Vector Bundles: Conference on Compact Moduli and Vector Bundles October 21-24, 2010 University of Georgia Athens, Georgia
2012 · PDF
Birational Geometry of Algebraic Varieties
1998 · PDF