A note on multiple Seshadri constants on surfaces

Abstract

We give a bound for the multiple Seshadri constants on surfaces with Picard number 1. The result is a natural extension of the bound of A. Steffens for simple Seshadri constants. In particular, we prove that the Seshadri constant $\epsilon (L;r)$ is maximal when $r{L}^2$ is a square.

4 pages