Titlebook: Resolution of Singularities; A research textbook Herwig Hauser,Joseph Lipman,Adolfo Quirós Textbook 2000 Springer Basel AG 2000 Algebraisc

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Uniformisation et désingularisation des surfaces d’après ZariskiLe problème de la désingularisation tel que se l’était posé Zariski peut être formulé ainsi:.Étant donnée une variété projective V sur un corps algébriquement clos k, existe-t-il une variété projective V régulière en tous ses points et birationnellement équivalente à V ?

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An Application of Alterations to Dieudonné ModulesIn this note we indicate a non-cohomological application of the results of [.] and [.]. The application concerns the crystalline Dieudonné module functor.

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Valuation Theoretic and Model Theoretic Aspects of Local UniformizationIn this paper, I will take you on an excursion from Algebraic Geometry through Valuation Theory to Model Theoretic Algebra, and back. If our destination sounds too exotic for you, you may jump off at the Old World (Valuation Theory) and divert yourself with problems and examples until you catch our plane back home.

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0743-1643 ories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems.978-3-0348-9550-7978-3-0348-8399-3Series ISSN 0743-1643 Series E-ISSN 2296-505X

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0743-1643 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 the

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