On free curves and related open problems
Algebraic Geometry
2023-12-22 v2 Commutative Algebra
Combinatorics
Abstract
In this paper we collect the main properties of free curves in the complex projective plane and a lot of conjectures and open problems, both old and new. In the quest to understand the mystery of free curves, many tools were developed and many results were obtained, which apply to any reduced plane curve, and some of them are recorded here.
Keywords
Cite
@article{arxiv.2312.07591,
title = {On free curves and related open problems},
author = {Alexandru Dimca},
journal= {arXiv preprint arXiv:2312.07591},
year = {2023}
}
Comments
v2: Remark 3.3 is new, Conjecture 4.6 was changed to Question 4.6 and several new references were added