On the existence of maximizing curves of odd degrees
Algebraic Geometry
2025-04-28 v2 Commutative Algebra
Abstract
In this paper we provide the non-existence criterion for the so-called maximizing curves of odd degrees. Furthermore, in the light of our criterion, we define a new class of plane curves that generalizes the notion of maximizing curves which we call as -curves.
Keywords
Cite
@article{arxiv.2411.17366,
title = {On the existence of maximizing curves of odd degrees},
author = {Marek Janasz and Izabela Leśniak},
journal= {arXiv preprint arXiv:2411.17366},
year = {2025}
}
Comments
10 pages, to appear in the Proceedings of the American Mathematical Society