Bernstein-Sato theory for linearly square-free polynomials in positive characteristic

Autors/ores

Paraules clau:

Bernstein–Sato theory, positive characteristic, test ideals, Fjumping numbers, Bernstein–Sato roots, linearly square-free polynomials.

Resum

La teoria de Bernstein–Sato ha esdevingut recentment un tema central a l’àlgebra commutativa i la geometria algebraica, atès que constitueix una poderosa eina per a classificar i quantificar singularitats en varietats algebraiques. En particular, ha sorgit un gran interès per estendre la teoria a anells de característica positiva. En aquest article, considerem una classe de polinomis, que denominem polinomis linealment lliures de quadrats, i investiguem els seus invariants associats en el context de la teoria de Bernstein–Sato.

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Com citar

López Sancha, P. (2024). Bernstein-Sato theory for linearly square-free polynomials in positive characteristic. Reports@SCM, 9(1), 53–64. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/154341

Número

Vol. 9 Núm. 1 (2024)

Secció

Articles

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