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Monomialization of Morphisms from 3 Folds to Surfaces

Steven D. Cutkosky · 2002

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About the book

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.

Book details

Year
2002
Language
English
Publisher
Springer
Editions
3
Pages
235
ISBN
9783540437802

Data source: Wikidata