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Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic

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We prove the prime characteristic analogue of a characteristic 0 0 result of Ein, Lazarsfeld, and Smith on uniform approximation of valuation ideals associated with real-valued Abhyankar valuations centered on… Click to show full abstract

We prove the prime characteristic analogue of a characteristic 0 0 result of Ein, Lazarsfeld, and Smith on uniform approximation of valuation ideals associated with real-valued Abhyankar valuations centered on regular varieties.

Keywords: prime characteristic; uniform approximation; approximation abhyankar; valuation ideals

Journal Title: Transactions of the American Mathematical Society
Year Published: 2019

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