Maximizing curves viewed as free curves
Algebraic Geometry
2024-11-12 v4 Combinatorics
Abstract
The aim of this paper is to provide a direct link between maximizing curves that occur in the construction of smooth algebraic surfaces having the maximal possible Picard numbers and reduced free plane curves with simple singularities. We also investigate odd degree plane curves with simple singularities having maximal total Tjurina number.
Cite
@article{arxiv.2208.13399,
title = {Maximizing curves viewed as free curves},
author = {Alexandru Dimca and Piotr Pokora},
journal= {arXiv preprint arXiv:2208.13399},
year = {2024}
}
Comments
28 pages, this is the final version incorporating referees remark. To appear in International Mathematics Research Notices