Zariski pairs of conic-line arrangements with a unique conic

Zariski pairs of conic-line arrangements with a unique conic

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.

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Bibliographische Detailangaben
Hauptverfasser: Bannai, Shinzo, Guerville-Ballé, Benoît, Shirane, Taketo
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
Mathematics - Geometric Topology
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Zusammenfassung: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.
DOI:10.48550/arxiv.2410.04969