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arXiv · 0710.0697

Toroidalization of generating sequences in dimension two function fields of positive characteristic

Laura Ghezzi·Olga Kashcheyeva
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Abstract

We give a characteristic free proof of the main result of our previous paper (math.AC/0509697) concerning toroidalization of generating sequences of valuations in dimension two function fields. We show that when an extension of two dimensional algebraic regular local rings $R\subset S$ satisfies the conclusions of the Strong Monomialization theorem of Cutkosky and Piltant, the map between generating sequences in $R$ and $S$ has a toroidal structure.

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BibTeXRIS

Laura Ghezzi, Olga Kashcheyeva. 2007-10-03. Toroidalization of generating sequences in dimension two function fields of positive characteristic. https://arxiv.org/abs/0710.0697

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