Seungsu Lee

collaborators

4 papers

math.NT2025

The local solubility for homogeneous polynomials with random coefficients over thin sets

Heejong Lee, Seungsu Lee, Kiseok Yeon

Let $d$ and $n$ be natural numbers greater or equal to $2$ . Let $⟨ a, I^½_{d, n} (x)⟩ \in Z [x]$ be a homogeneous polynomial…

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…

math.AG2025

The F-signature Function on the Ample Cone

Seungsu Lee, Suchitra Pande

For any fixed globally F-regular projective variety X over an algebraically closed field of positive characteristic, we study the F-signature of section rings of X with respect to…

The local solubility for homogeneous polynomials with random coefficients over thin sets

Hilbert-Kunz multiplicity and F-signature can disagree

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

The F-signature Function on the Ample Cone

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