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

Authors

Keywords:

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

Abstract

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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How to Cite

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

Issue

Vol. 9 No. 1 (2024)

Section

Articles

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