Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 47–65 |
| Seitenumfang | 19 |
| Fachzeitschrift | Innovations in Incidence Geometry |
| Jahrgang | 22 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 28 Mai 2025 |
Abstract
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Geometrie und Topologie
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in: Innovations in Incidence Geometry, Jahrgang 22, Nr. 1, 28.05.2025, S. 47–65.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Singular plane curves: freeness and combinatorics
AU - Cuntz, Michael
AU - Pokora, Piotr
N1 - Publisher Copyright: © 2025 MSP (Mathematical Sciences Publishers).
PY - 2025/5/28
Y1 - 2025/5/28
N2 - 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.
AB - 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.
KW - combinatorics
KW - minimal free resolutions
KW - singular plane curves
UR - http://www.scopus.com/inward/record.url?scp=105007534864&partnerID=8YFLogxK
U2 - 10.2140/iig.2025.22.47
DO - 10.2140/iig.2025.22.47
M3 - Article
VL - 22
SP - 47
EP - 65
JO - Innovations in Incidence Geometry
JF - Innovations in Incidence Geometry
SN - 2640-7337
IS - 1
ER -