Monomialization of Morphisms from 3 - E-book

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Monomialization Of Morphisms From 3-folds To Surfaces - ENG

Steven D. Cutkosky

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Sinopsis

ISBN:	9783540480303
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2004-10-13

A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in etale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S. The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.

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