$F$-thresholds and test ideals of Thom-Sebastiani type polynomials
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- 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
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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
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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