Maximizing curves viewed as free curves

Fuente: arXiv
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Autores principales: Dimca, Alexandru, Pokora, Piotr
Formato: Preprint
Publicado: 2022
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author Dimca, Alexandru
Pokora, Piotr
author_facet Dimca, Alexandru
Pokora, Piotr
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2208_13399
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Maximizing curves viewed as free curves
Dimca, Alexandru
Pokora, Piotr
Algebraic Geometry
Combinatorics
14H50, 14N20, 32S22
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.
title Maximizing curves viewed as free curves
topic Algebraic Geometry
Combinatorics
14H50, 14N20, 32S22
url https://arxiv.org/abs/2208.13399