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Resolution of Singularities : A Research Textbook in Tribute to Oscar Zariski Based on the Courses Given at the Working Week in Obergurgl, Austria, September 7-14, 1997 - Herwig Hauser

Resolution of Singularities

A Research Textbook in Tribute to Oscar Zariski Based on the Courses Given at the Working Week in Obergurgl, Austria, September 7-14, 1997

By: Herwig Hauser (Editor), Joseph Lipman (Editor), Frans Oort (Editor), Adolfo Quiros (Editor)

Hardcover Published: 14th February 2000
ISBN: 9783764361785
Number Of Pages: 598

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In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems.

Preface
Program of the Working Week on Resolution of Singularities
Participants of the Working Week
Oscar Zariski 1899-1986p. 1
Resolution of Singularities 1860-1999p. 5
Alterations and resolution of singularitiesp. 39
Reduction of singularities for differential equationsp. 109
Puiseux solutions of singular differential equationsp. 129
A course on constructive desingularization and equivariancep. 147
A computer program for the resolution of singularitiesp. 231
Uniformisation et desingularisation des surfaces d'apres Zariskip. 239
Toric varieties and toric resolutionp. 259
A compactification of a fine moduli space of curvesp. 285
Applications of de Jong's theorem on alterationsp. 299
Resolving singularities of plane analytic branches with one toric morphismp. 315
Excellent surfaces and their taut resolutionp. 341
An application of alterations to Dieudonne modulesp. 375
Valuation theoretic and model theoretic aspects of local uniformizationp. 381
Les singularites Sandwichp. 457
Equisingularity and simultaneous resolution of singularitiesp. 485
Resolution of weighted homogeneous surface singularitiesp. 507
Alterations and birational anabelian geometryp. 519
The turbulent fifties in resolution of singularitiesp. 533
Valuationsp. 539
Indexp. 591
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764361785
ISBN-10: 3764361786
Series: Progress in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 598
Published: 14th February 2000
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 3.33
Weight (kg): 1.05

Earn 408 Qantas Points
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