Monomialization of Morphisms from 3-Folds to Surfaces formatIsbn:Softcover - 9783540437802 Veranstaltung: Adorno & Horkheimer: Die

Veranstaltung: Adorno & Horkheimer: Die Dialektik der Aufklärung

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Monomialization of Morphisms from 3-Folds to Surfaces formatIsbn:Softcover - 9783540437802 Veranstaltung: Adorno & Horkheimer: DieA 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