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Monomialization of Morphisms from 3-Folds to Surfaces

Monomialization of Morphisms from 3-Folds to Surfaces

Paperback

Series: Lecture Notes in Mathematics, Book 1786

Medical ReferenceAlgebraGeometry

ISBN10: 3540437800
ISBN13: 9783540437802
Publisher: Springer Nature
Published: Aug 6 2002
Pages: 240
Weight: 0.78
Height: 0.52 Width: 6.14 Depth: 9.21
Language: English
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.

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