Euisung Park

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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…

math.AG2024

On the rank index of projective curves of almost minimal degree

Jaewoo Jung, Hyunsuk Moon, Euisung Park

In this article, we investigate the rank index of projective curves $C \subset P^{r}$ of degree $r + 1$ when $C = π_{p} (C ~)$ for the standa…