Overview

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.

Full Product Details

Author:   David Ellwood ,  Herwig Hauser ,  Shigefumi Mori ,  Josef Schicho
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   20
Weight:   0.620kg
ISBN:  

9780821889824

ISBN 10:   0821889826
Pages:   347
Publication Date:   30 December 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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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Author Information

David Ellwood, Harvard University, Cambridge, MA, USA. Herwig Hauser, Universtitat Wien, Vienna, Austria. Shigefumi Mori, RIMS, Kyoto University, Japan. Josef Schicho, Austrian Academy of Sciences, Linz, Austria.

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