The resolution of singular algebraic varieties : Clay Mathematics Institute Summer School 2012, the resolution of singular algebraic varieties, Obergurgl, Tyrolean Alps, Austria, June 3-30, 2012
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Bibliographic Information
The resolution of singular algebraic varieties : Clay Mathematics Institute Summer School 2012, the resolution of singular algebraic varieties, Obergurgl, Tyrolean Alps, Austria, June 3-30, 2012
（Clay mathematics proceedings, v. 20）
American Mathematical Society , Clay Mathematics Institute, c2014
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Resolution of singularities
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Includes bibliographical references
Description and Table of Contents
Description
Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities. They reveal the aesthetics of both the logical structure of the proof and the various methods used in it. The present volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution. As such, it provides a gentle and quite comprehensive introduction to this amazing field. The book may tempt the reader to enter more deeply into a topic where many mysteries - especially the positive characteristic case - await to be disclosed.
Table of Contents
Blowups and resolution by H. Hauser
On the behavior of the multiplicity on schemes: Stratification and blow ups by A. Bravo and O. E. Villamayor U.
A simplified game for resolution of singularities by J. Schicho
Resolution of singularities in char p and monomialization by S. D. Cutkosky
Resolution of toric varieties by S. Encinas
Desingularization in computational applications and experiments by A. Fruhbis-Kruger
Introduction to the idealistic filtration program with emphasis on the radical saturation by H. Kawanoue
Algebraic approaches to FlipIt by J. Schicho and J. Top
Higher Semple-Nash blowups and F-blowups by T. Yasuda
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