A note on multiple Seshadri constants on surfaces

Mathematics – Algebraic Geometry

Scientific paper

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4 pages

Scientific paper

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 $rL^2$ is a square.

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