Harbourne constants, pull-back clusters and ramified morphisms
Algebraic Geometry
2022-08-23 v2
Abstract
We describe the effect of ramified morphisms on Harbourne constants of reduced effective divisors. With this goal, we introduce the pullback of a weighted cluster of infinitely near points under a dominant morphism between surfaces, and describe some of its basic properties. As an application, we describe configurations of curves with transversal intersections and -index arbitarily close to , smaller than any previously known result.
Cite
@article{arxiv.1810.03926,
title = {Harbourne constants, pull-back clusters and ramified morphisms},
author = {Piotr Pokora and Joaquim Roé},
journal= {arXiv preprint arXiv:1810.03926},
year = {2022}
}
Comments
27 pages, this is the final version incorporating referee's remarks, to appear in Results in Mathematics