Resolution of Singularities

Herwig Hauser

ISBN 10: 303489550X / ISBN 13: 9783034895507

Editore: Birkhäuser Basel Dez 2012, 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 624 pp. Englisch.

Codice articolo 9783034895507

Dati bibliografici

• Titolo: Resolution of Singularities
• Editore: Birkhäuser Basel Dez 2012
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 303489550X
• ISBN 13: 9783034895507
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 34 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 34 millimetri di profondità
• Peso: 931 grammi

Descrizione articolo

Riassunto

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.

Contenuti

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.