Asymptotic Hilbert polynomial and a bound for Waldschmidt constants
Copyright policy )Asymptotic Hilbert polynomial and a bound for Waldschmidt constants
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
- Jagiellonian University Poland
Configurations and arrangements of linear subspaces, Mathematics - Algebraic Geometry, 13P10, 14N20, asymptotic invariants, symbolic powers, FOS: Mathematics, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG)
Configurations and arrangements of linear subspaces, Mathematics - Algebraic Geometry, 13P10, 14N20, asymptotic invariants, symbolic powers, FOS: Mathematics, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG)
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