On the existence of maximizing curves of odd degrees

Fuente: arXiv
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Auteurs principaux: Janasz, Marek, Leśniak, Izabela
Format: Preprint
Publié: 2024
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author Janasz, Marek
Leśniak, Izabela
author_facet Janasz, Marek
Leśniak, Izabela
contents 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 $M$-curves.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17366
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the existence of maximizing curves of odd degrees
Janasz, Marek
Leśniak, Izabela
Algebraic Geometry
Commutative Algebra
14H50, 32S25, 14C20
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 $M$-curves.
title On the existence of maximizing curves of odd degrees
topic Algebraic Geometry
Commutative Algebra
14H50, 32S25, 14C20
url https://arxiv.org/abs/2411.17366