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Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants

Published 24 Nov 2015 in math.AG and math.AC | (1511.07633v1)

Abstract: In the paper we give an upper bound for the Waldschmidt constants of the wide class of ideals. This generalizes the result obtained by Dumnicki, Harbourne, Szemberg and Tutaj-Gasinska, Adv. Math. 2014. Our bound is given by a root of a suitable derivative of a certain polynomial associated with the asymptotic Hilbert polynomial.

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