Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

$F$-thresholds and test ideals of Thom-Sebastiani type polynomials
HTML articles powered by AMS MathViewer

by Manuel González Villa, Delio Jaramillo-Velez and Luis Núñez-Betancourt
Proc. Amer. Math. Soc. 150 (2022), 3739-3755
DOI: https://doi.org/10.1090/proc/16025
Published electronically: June 16, 2022

Abstract:

We provide a formula for $F$-thresholds of a Thom-Sebastiani type polynomial over a perfect field of prime characteristic. We also compute the first test ideal of Thom-Sebastiani type polynomials. Finally, we apply our results to find hypersurfaces where the log canonical thresholds equal the $F$-pure thresholds for infinitely many prime numbers.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2020): 13A35, 14B05
  • Retrieve articles in all journals with MSC (2020): 13A35, 14B05
Bibliographic Information
  • Manuel González Villa
  • Affiliation: Centro de investigación en Matemáticas, Apartado Postal 402, 36000 Guanajuato, GTO, Mexico
  • ORCID: 0000-0002-0370-3401
  • Email: manuel.gonzalez@cimat.mx
  • Delio Jaramillo-Velez
  • Affiliation: Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14–740, 07000 Mexico City, CDMX, Mexico
  • ORCID: 0000-0002-7958-1682
  • Email: djaramillo@math.cinvestav.mx
  • Luis Núñez-Betancourt
  • Affiliation: Centro de investigación en Matemáticas, Apartado Postal 402, 36000 Guanajuato, GTO, Mexico
  • MR Author ID: 949465
  • Email: luisnub@cimat.mx
  • Received by editor(s): October 14, 2020
  • Received by editor(s) in revised form: November 24, 2021
  • Published electronically: June 16, 2022
  • Additional Notes: The first author was partially supported by Spanish national grant MTM2016-76868-C2-1-P
    The second author was partially supported by CONACyT Fellowship 862006
    The third author was partially supported by CONACyT Grant 284598 and Cátedras Marcos Moshinsky.
  • Communicated by: Claudia Polini
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 3739-3755
  • MSC (2020): Primary 13A35; Secondary 14B05
  • DOI: https://doi.org/10.1090/proc/16025
  • MathSciNet review: 4446226