Lectures on Resolution of Singularities(English, Paperback, Kollar Janos)

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Lectures on Resolution of Singularities(English, Paperback, Kollar Janos) is written by Kollar Janos and published by Princeton University Press. It's available with International Standard Book Number or ISBN identification 0691129231 (ISBN 10) and 9780691129235 (ISBN 13).

Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Janos Kollar 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. Kollar 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.