Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants
classification
🧮 math.AG
math.AC
keywords
boundpolynomialasymptoticconstantshilbertwaldschmidtassociatedcertain
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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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