Donghyeop Lee

collaborators

2 papers

math.AG2025

Rank 3 Quadratic Generators of Veronese Embeddings: The Characteristic 3 Case

Donghyeop Lee, Euisung Park, Saerom Sim

This paper investigates property QR(3) for Veronese embeddings over an algebraically closed field of characteristic $3$ . We determine the rank index of $(\mathbb{P}^n , \mathcal{O}…

math.AG2024

Castelnuovo-Mumford regularity of finite schemes

Donghyeop Lee, Euisung Park

Let $Γ \subset P^{n}$ be a nondegenerate finite subscheme of degree $d$ . Then the Castelnuovo-Mumford regularity $reg (Γ)$ of $Γ$ is at most $\left\lceil \frac{d-n-1}{t…