F-pure threshold for the symmetric determinantal ring

2024/07/13 by Justin Fong, Fong, Justin
Mathematics · #Commutative Algebra and Its Applications #Advanced Topics in Algebra #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2407.09978

Abstract

We give a value for the F-pure threshold at the maximal homogeneous ideal \mathfrakm of the symmetric determinantal ring over a field of prime characteristic. The answer is characteristic independent, so we immediately get the log canonical threshold in characteristic zero as well.

Related

• The F-pure threshold of a determinantal ideal
• On F-pure thresholds
• F-threshold of determinantal rings
• On the existence of F-thresholds and related limits
• The defect of the F-pure threshold