Singular plane curves: freeness and combinatorics

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  • University of the National Education Commission Krakow
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OriginalspracheEnglisch
Seiten (von - bis)47–65
Seitenumfang19
FachzeitschriftInnovations in Incidence Geometry
Jahrgang22
Ausgabenummer1
PublikationsstatusVeröffentlicht - 28 Mai 2025

Abstract

In this paper we focus on various aspects of singular complex plane curves, mostly in the context of their homological properties and the associated combinatorial structures. We formulate some challenging open problems that can point to new directions in research, for example by introducing weak Ziegler pairs of curve arrangements. Moreover, we construct new examples of different Ziegler pairs, in both the classical and the weak sense, and present new geometric approaches to construction problems of singular plane curves.

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Singular plane curves: freeness and combinatorics. / Cuntz, Michael; Pokora, Piotr.
in: Innovations in Incidence Geometry, Jahrgang 22, Nr. 1, 28.05.2025, S. 47–65.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Cuntz M, Pokora P. Singular plane curves: freeness and combinatorics. Innovations in Incidence Geometry. 2025 Mai 28;22(1):47–65. doi: 10.2140/iig.2025.22.47, 10.48550/arXiv.2403.13377
Cuntz, Michael ; Pokora, Piotr. / Singular plane curves: freeness and combinatorics. in: Innovations in Incidence Geometry. 2025 ; Jahrgang 22, Nr. 1. S. 47–65.
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