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

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

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 t...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2022-09, Vol.150 (9), p.3739
Hauptverfasser: Manuel González Villa, Delio Jaramillo-Velez, Luis Núñez-Betancourt
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/16025