Monomialization of Morphisms from 3 Folds to Surfaces

Book Properties
ISBN: 3540437800
Title: Monomialization of Morphisms from 3 Folds to Surfaces
Author: Steven D. Cutkosky
Publisher: Springer
Publication Date: 2002-09-01
Number Of Pages: 248
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Editorial Description
A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale 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 research
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