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.
Reihe
Sprache
Verlagsort
Zielgruppe
Maße
Höhe: 254 mm
Breite: 178 mm
Gewicht
ISBN-13
978-0-8218-8982-4 (9780821889824)
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Schweitzer Klassifikation
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.
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
