Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants

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.

7 pages

References in corpus (1)

• Symbolic generic initial systems of star configurations

Cited by in corpus (1)

• Lower bounds for Waldschmidt constants of generic lines in ${\mathbb{P}}^3$ and a Chudnovsky-type theorem