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A note on multiple Seshadri constants on surfaces

Luis Fuentes Garcia

math.AGarXiv:math/0512147

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 ε(L; r) is maximal when rL2 is a square.

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