Monomialization of Morphisms from 3 Folds to Surfaces

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.

שנה

2002

שפה

English

הוצאה

Springer

מהדורות

3

עמודים

235

ISBN

9783540437802

מקור הנתונים: Wikidata