Seshadri constants on surfaces with Picard number 1

Abstract

Let $X$ be a smooth projective surface with Picard number 1. Let $L$ be the ample generator of the Néron-Severi group of $X$. Given an integer $r\ge 2$, we prove lower bounds for the Seshadri constant of $L$ at $r$ general points in $X$.

9 pages; some minor changes and corrections; to be published in Manuscripta Math