Monomial resolutions of morphisms of algebraic surfaces

Details Monomial resolutions of morphisms of algebraic surfaces Monomial resolutions of morphisms of algebraic surfaces

1999-10-14

arxiv.org/abs/math/9910076v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

Suppose that $f: Y\to X$ is a proper, dominant, tamely ramified morphism of
algebraic surfaces, over a perfect field. We show that it is possible to
perform sequences of monoidal transforms $Y'\to Y$ and $X'\to X$ to obtain an
induced morphism $Y'\to Y$ which is a monomial morphism.

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