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 eÆtale 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.









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