On Linear Harbourne Constants

Justyna Szpond *

Department of Mathematics, Pedagogical University of Cracow, ul. Podchorazych 2, PL-30-084 Krakow, Poland.

*Author to whom correspondence should be addressed.


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.

Keywords: Bounded negativity conjecture, arrangements of lines, combinatorial arrangements


How to Cite

Szpond, Justyna. 2015. “On Linear Harbourne Constants”. Journal of Advances in Mathematics and Computer Science 8 (4):286-97. https://doi.org/10.9734/BJMCS/2015/16922.

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