Asymptotics of linear systems, with connections to line arrangements
Volume 116 / 2018
Banach Center Publications 116 (2018), 87-135
MSC: 14C20.
DOI: 10.4064/bc116-6
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.
