Extremal F-thresholds in regular local rings

Abstract

Let $(R,\mathfrak{m})$ be a regular local ring of characteristic $p>0$. Among all proper ideals $\mathfrak{a}\subseteq R$ with a fixed order of vanishing ${\text{ord}}_{\mathfrak{m}}(\mathfrak{a})$, we classify the ideals for which the $F$-threshold ${\text{ft}}^{\mathfrak{m}}(\mathfrak{a})$ is minimal.

19 pages, comments are welcome