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

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Resolving Singularities of Plane Analytic Branches with one Toric Morphismduce an embedded resolution of singularities of (.., 0) also resolve the singularities of (., 0) ⊂ (⊂ ℂ., 0), the embedding being defined by elements of the analytic algebra .. whose valuations generate the semigroup Γ.

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Textbook 2000 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.

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Oscar Zariski 1899–1986ssity, in those unsettled times), he went to Rome and studied under the preeminent Italian geometers G. Castelnuovo, F. Enriques, and F. Severi. He received his doctorate at the University of Rome in 1924, and shortly thereafter came to the U.S.A. There ensued, first at Johns Hopkins and then at Har

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Resolution of Singularities 1860–1999ingularities. For detailed information we give references to the literature for each item. The presentation, which is necessarily subjective, does not claim completeness or utmost rigor. It shall merely help the reader to access the field and to find further sources. We are very indebted to A. Quiró

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