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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic
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by Rankeya Datta PDF
Trans. Amer. Math. Soc. 373 (2020), 319-341 Request permission

Abstract:

We prove the prime characteristic analogue of a characteristic $0$ result of Ein, Lazarsfeld, and Smith on uniform approximation of valuation ideals associated with real-valued Abhyankar valuations centered on regular varieties.
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Additional Information
  • Rankeya Datta
  • Affiliation: Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607
  • MR Author ID: 1038948
  • Email: rankeya@uic.edu
  • Received by editor(s): August 14, 2017
  • Received by editor(s) in revised form: May 20, 2019
  • Published electronically: September 25, 2019
  • Additional Notes: The author’s work was supported by a department fellowship at the University of Michigan and Karen Smith’s NSF grant DMS $\# 1501625$. Preliminary results were obtained during the author’s stay at the University of Utah, and he is grateful to Karl Schwede for the invitation.
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 373 (2020), 319-341
  • MSC (2010): Primary 13A35, 13A18; Secondary 14B05, 13F30, 14G17
  • DOI: https://doi.org/10.1090/tran/7917
  • MathSciNet review: 4042877