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arXiv · 1705.00447

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

Rankeya Datta
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Abstract

Using the theory of asymptotic test ideals, we prove the prime characteristic analogue of a characteristic $0$ result of Ein, Lazarsfeld and Smith (arXiv:math/0202303) on uniform approximation of valuation ideals associated to real-valued Abhyankar valuations centered on regular varieties over perfect fields.

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Rankeya Datta. 2017-05-01. Uniform approximation of Abhyankar valuation ideals in function field of prime characteristic. https://doi.org/10.1090/tran%2F7917

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