A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves

Wenbo Niu

Let $\mathcal{I}$ be an ideal sheaf on $P^n$. In the first part of this paper, we bound the asymptotic regularity of powers of $\mathcal{I}$ as $ps-3\leq \reg \mathscr{I}^p\leq ps+…