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Monomial resolutions of morphisms of algebraic surfaces

Steven Dale Cutkosky·Olivier Piltant
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Abstract

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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Steven Dale Cutkosky, Olivier Piltant. 1999-10-14. Monomial resolutions of morphisms of algebraic surfaces. https://arxiv.org/abs/math/9910076

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