Monomialization of Morphisms from 3-Folds to Surfaces
Description
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.
The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.
Keywords
MathematicsAlgebraLinearGeometryAlgebraicMedical
2002Book
Author(s)Steven D. Cutkosky
PublisherSpringer Science & Business Media
ISBN9783540437802
LanguageEnglish
