Monomialization of Morphisms from 3-Folds to Surfaces

By Steven Dale Cutkosky

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.

• Format: Paperback
• Language: English
• ISBN: 3540437800
• ISBN13: 9783540437802
• Release Date: August 2002
• Publisher: Springer
• Length: 240 Pages
• Weight: 0.78 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"