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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Log canonical threshold and diagonal ideals
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by Carles Bivià-Ausina PDF
Proc. Amer. Math. Soc. 145 (2017), 1905-1916 Request permission

Abstract:

We characterize the ideals $I$ of $\mathcal {O}_n$ of finite colength whose integral closure is equal to the integral closure of an ideal generated by pure monomials. This characterization, which is motivated by an inequality proven by Demailly and Pham (2014), is given in terms of the log canonical threshold of $I$ and the sequence of mixed multiplicities of $I$.
References
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Additional Information
  • Carles Bivià-Ausina
  • Affiliation: Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain
  • MR Author ID: 666386
  • Email: carbivia@mat.upv.es
  • Received by editor(s): January 18, 2016
  • Received by editor(s) in revised form: June 29, 2016, and June 30, 2016
  • Published electronically: October 31, 2016
  • Communicated by: Lev Borisov
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 1905-1916
  • MSC (2010): Primary 13H15; Secondary 32S05, 14B05
  • DOI: https://doi.org/10.1090/proc/13382
  • MathSciNet review: 3611307