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Lectures on Resolution of Singularities (AM-166)

2009-01-10 Mathematics
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Release : 2009-01-10
Genre : Mathematics
Kind : eBook
Book Rating : 809/5 ( reviews)

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Book Synopsis Lectures on Resolution of Singularities (AM-166) by : János Kollár

Download or read book Lectures on Resolution of Singularities (AM-166) written by János Kollár. This book was released on 2009-01-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Resolution of Singularities (AM-166)

2007-02-25 Mathematics
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Release : 2007-02-25
Genre : Mathematics
Kind : eBook
Book Rating : 231/5 ( reviews)

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Book Synopsis Lectures on Resolution of Singularities (AM-166) by : János Kollár

Download or read book Lectures on Resolution of Singularities (AM-166) written by János Kollár. This book was released on 2007-02-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Resolution of Surface Singularities

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 258/5 ( reviews)

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Book Synopsis Resolution of Surface Singularities by : Vincent Cossart

Download or read book Resolution of Surface Singularities written by Vincent Cossart. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:

Resolution of Surface Singularities

1984 Asymptotic expansions
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Release : 1984
Genre : Asymptotic expansions
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis Resolution of Surface Singularities by : Andrei Verona

Download or read book Resolution of Surface Singularities written by Andrei Verona. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:

New Techniques in Resolution of Singularities

2023-10-16 Mathematics
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Release : 2023-10-16
Genre : Mathematics
Kind : eBook
Book Rating : 154/5 ( reviews)

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Book Synopsis New Techniques in Resolution of Singularities by : Dan Abramovich

Download or read book New Techniques in Resolution of Singularities written by Dan Abramovich. This book was released on 2023-10-16. Available in PDF, EPUB and Kindle. Book excerpt: Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. As a byproduct a short, a simple and efficient functorial resolution procedure in characteristic 0 using just algebraic stacks was produced. The goals of the book, the result of an Oberwolfach Seminar, are to introduce readers to explicit techniques of resolution of singularities with access to computer implementations, introduce readers to the theories of algebraic stacks and logarithmic structures, and to resolution in families and semistable reduction methods.

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