Uniform approximation of Abhyankar valuation ideals in function field of prime characteristic
arXiv:1705.00447 · doi:10.1090/tran/7917
Abstract
Using the theory of asymptotic test ideals, we prove the prime characteristic analogue of a characteristic 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.
Final version