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Research Article Open access CC BY 4.0

On Linear Harbourne Constants

Justyna Szpond

Journal of Advances in Mathematics and Computer Science · pp. 286–297 · Published 6 Jul 2015

10.9734/BJMCS/2015/16922

Abstract

In this note we compute values of global linear Harbourne constants over arbitrary fields for up to ten lines. These invariants have appeared recently in the discussions around the Bounded Negativity Conjecture, see [1]. They seem to be of independent interest also from the point of view of combinatorics.

Bounded negativity conjecture arrangements of lines combinatorial arrangements

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