Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic
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- by Rankeya Datta PDF
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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.References
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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