Title: 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.
Subjects: Morphisms (Mathematics), Threefolds (Algebraic geometry), Algebraic Surfaces, Algebraic varieties, Morphismus, Varietes a 3 dimensions, Algebraische Varietat, Surfaces algebriques, Varietes algebriques, Algebraische oppervlakken, Morfismen (wiskunde), Morphismes (Mathematiques), Geometry, algebraic, Surfaces, algebraic, Mathematics