Steven D. Cutkosky

Monomialization of Morphisms from 3 Folds to Surfaces
Steven D. Cutkosky · 2002
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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