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math.AG2014
A generalization of the Abhyankar Jung theorem to associated graded rings of valuations
Steven Dale Cutkosky
Suppose that R\rightarrow S is an extension of local domains and ν^* is a valuation dominating S. We consider the natural extension of associated graded rings along the valuation g…
math.AG2014
Counterexamples to local monomialization in positive characteristic
Steven Dale Cutkosky
In this paper we consider birational properties of ramification in excellent local rings. We give an example showing that local monomialization (and weak local monomialization) can…