Monomialization of Morphisms from 3-Folds to Surfaces (Lecture Notes in Mathematics, 1786, Band 1786) - Softcover

Cutkosky, Steven D.

 
9783540437802: Monomialization of Morphisms from 3-Folds to Surfaces (Lecture Notes in Mathematics, 1786, Band 1786)

Inhaltsangabe

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 researchers and graduate students.

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9783662208861: Monomialization of Morphisms from 3-Folds to Surfaces

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ISBN 10:  3662208865 ISBN 13:  9783662208861
Verlag: Springer, 2014
Softcover