Seungsu Lee

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math.AC2025

Hilbert-Kunz multiplicity and $F$ -signature can disagree

Seungsu Lee, Suchitra Pande, Austyn Simpson

We compute the $F$ -signature function of the ample cone of any nontrivial ruled surface over $P_{k}^{1}$ where $k$ is an algebraically closed field of prime characteristic. As…

math.AC2025

Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups

Hanlin Cai, Seungsu Lee, Linquan Ma +2

We define a (perfectoid) mixed characteristic version of $F$ -signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' norma…

Hilbert-Kunz multiplicity and F-signature can disagree

Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups

Hilbert-Kunz multiplicity and $F$ -signature can disagree