Rankeya Datta

activity

20122026

most citedValuations and Frobenius

19 citations · 53 across the 19 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AC2017★ 3 cited

Frobenius splitting of valuation rings and $F$ -singularities of centers

Rankeya Datta

Using a local monomialization result of Knaf and Kuhlmann, we prove that the valuation ring of an Abhyankar valuation of a function field over a perfect ground field of prime chara…

math.AG2017

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

Rankeya Datta

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 a…

math.AC2017

Excellence in prime characteristic

Rankeya Datta, Karen E. Smith

Fix any field $K$ of characteristic $p$ such that $[K : K^{p}]$ is finite. We discuss excellence for Noetherian domains whose fraction field is $K$ , showing for example, that $R$ is ex…

Frobenius splitting of valuation rings and F-singularities of centers

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

Excellence in prime characteristic

Frobenius splitting of valuation rings and $F$ -singularities of centers