Monomialization of Morphisms from 3 Folds to Surfaces 2002nd Edition by Steven D. Cutkosky (PDF)

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    Ebook Info

    • Published: 2002
    • Number of pages: 248 pages
    • Format: PDF
    • File Size: 3.05 MB
    • Authors: Steven D. Cutkosky

    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.

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