Asymptotic Hilbert polynomial and a bound for Waldschmidt constants

Marcin Dumnicki; Łucja Farnik; Halszka Tutaj-Gasińska

doi:10.3934/era.2016.23.002

Article Contents

2016, Volume 23: 8-18. Doi: 10.3934/era.2016.23.002

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Asymptotic Hilbert polynomial and a bound for Waldschmidt constants

1.
Jagiellonian University, Faculty of Mathematics and Computer Science, Łojasiewicza 6, PL-30-348 Kraków

Received: December 2015

Revised: April 2016

Published: January 2016

Abstract / Introduction Related Papers Cited by

Abstract

In the paper we give a method to compute an upper bound for the Waldschmidt constants of a wide class of ideals. This generalizes the result obtained by Dumnicki, Harbourne, Szemberg and Tutaj-Gasińska, Adv. Math. 2014, [5]. Our bound is given by a root of a suitable derivative of a certain polynomial associated with the asymptotic Hilbert polynomial.

Keywords:

Symbolic powers,
asymptotic invariants.

Mathematics Subject Classification: 13P10, 14N20.

Citation:

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