Castelnuovo-Mumford regularity of finite schemes

Donghyeop Lee, Euisung Park

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