Monomialization of Morphisms from 3-Folds to Surfaces

von Steven D. Cutkosky

240 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540437802
• Sprache: Englisch
• Erscheinungsdatum: 06.08.2002
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin