Resolution of Singular Algebraic Varieties

Häftad, Engelska, 2014

Del i serien Clay Mathematics Proceedings

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2014-12-30
Mått:178 x 254 x undefined mm
Vikt:620 g
Format:Häftad
Språk:Engelska
Serie:Clay Mathematics Proceedings
Antal sidor:347
Förlag:American Mathematical Society
ISBN:9780821889824

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

Blowups and resolution by H. HauserOn 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. SchichoResolution of singularities in char p and monomialization by S. D. CutkoskyResolution of toric varieties by S. EncinasDesingularization in computational applications and experiments by A. Fruhbis-KrugerIntroduction to the idealistic filtration program with emphasis on the radical saturation by H. KawanoueAlgebraic approaches to FlipIt by J. Schicho and J. TopHigher Semple-Nash blowups and F-blowups by T. Yasuda