Overview

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.

Full Product Details

Author:   Herwig Hauser ,  Joseph Lipman ,  Frans Oort ,  Adolfo Quiros
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2000 ed.
Volume:   181
Dimensions:   Width: 15.50cm , Height: 3.30cm , Length: 23.50cm
Weight:   2.320kg
ISBN:  

9783764361785

ISBN 10:   3764361786
Pages:   598
Publication Date:   14 February 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Oscar Zariski 1899–1986.- Resolution of Singularities 1860–1999.- 1: Classes of the Working Week.- Alterations and resolution of singularities.- Reduction of singularities for differential equations.- Puiseux solutions of singular differential equations.- A course on constructive desingularization and equivariance.- 2: Contributions.- A computer program for the resolution of singularities.- Uniformisation et désingularisation des surfaces d’après Zariski.- Tonie varieties and toric resolution.- A compactification of a fine moduli space of curves.- Applications of de Jong’s theorem on alterations.- Resolving singularities of plane analytic branches with one toric morphism.- Excellent surfaces and their taut resolution.- An application of alterations to Dieudonné modules.- Valuation theoretic and model theoretic aspects of local uniformization.- Les singularités Sandwich.- Equisingularity and simultaneous resolution of singularities.- Resolution of weighted homogeneous surface singularities.- Alterations and birational anabelian geometry.- The turbulent fifties in resolution of singularities.- Valuations.

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