Asymptotics of linear systems, with connections to line arrangements
Algebraic Geometry
2017-05-30 v1
Abstract
The main focus of these notes is recent work on linear systems in which line arrangements play a role, including problems such as semi-effectivity, containment problems of symbolic powers of homogeneous ideals in their powers, bounded negativity, and a new perspective on the SHGH Conjecture. Along the way we will be concerned with asymptotic invariants such as Waldschmidt constants, resurgences and H-constants.
Keywords
Cite
@article{arxiv.1705.09946,
title = {Asymptotics of linear systems, with connections to line arrangements},
author = {Brian Harbourne},
journal= {arXiv preprint arXiv:1705.09946},
year = {2017}
}
Comments
45 pages with 14 figures