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

• Autores: Pedro López Sancha
• Localización: Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques, ISSN-e 2385-4227, Vol. 9, Nº. 1, 2024, págs. 53-64
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen
  • català

    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.

  • English

    Bernstein–Sato theory has recently emerged as a central topic in commutative algebra and algebraic geometry, as it constitutes a powerful tool in classifying and quantifying singularities of algebraic varieties. Notably, there has been a surge of interest in extending this theory to the positive characteristic setting. In this work, we consider a class of polynomials, which we call linearly square-free polynomials, and investigate their associated invariants within the context of Bernstein–Sato theory.

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