Zariski pairs of conic-line arrangements with a unique conic

Fuente: arXiv
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Hauptverfasser: Bannai, Shinzo, Guerville-Ballé, Benoît, Shirane, Taketo
Format: Preprint
Veröffentlicht: 2024
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author Bannai, Shinzo
Guerville-Ballé, Benoît
Shirane, Taketo
author_facet Bannai, Shinzo
Guerville-Ballé, Benoît
Shirane, Taketo
contents In this note, we present two pairs of conic-line arrangements admitting a unique conic and that form Zariski pairs, both of degree $9$. Their topologies are distinguished using the connected numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2410_04969
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Zariski pairs of conic-line arrangements with a unique conic
Bannai, Shinzo
Guerville-Ballé, Benoît
Shirane, Taketo
Algebraic Geometry
Geometric Topology
14H45, 14H30, 32Q55, 54F65
In this note, we present two pairs of conic-line arrangements admitting a unique conic and that form Zariski pairs, both of degree $9$. Their topologies are distinguished using the connected numbers.
title Zariski pairs of conic-line arrangements with a unique conic
topic Algebraic Geometry
Geometric Topology
14H45, 14H30, 32Q55, 54F65
url https://arxiv.org/abs/2410.04969