On $3$-syzygy and unexpected plane curves
Algebraic Geometry
2021-09-22 v3 Commutative Algebra
Abstract
In this note we study curves (arrangements) in the complex projective plane which can be considered as generalizations of free curves. We construct families of arrangements which are nearly free and possess interesting geometric properties. More generally, we study -syzygy arrangements and we present examples that admit unexpected curves.
Cite
@article{arxiv.2007.04162,
title = {On $3$-syzygy and unexpected plane curves},
author = {Grzegorz Malara and Piotr Pokora and Halszka Tutaj-Gasińska},
journal= {arXiv preprint arXiv:2007.04162},
year = {2021}
}
Comments
19 pages, one figure, version after referee's remarks