Details
| Original language | English |
|---|---|
| Number of pages | 17 |
| Publication status | E-pub ahead of print - 23 Nov 2024 |
Abstract
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2024.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Singular plane curves: freeness and combinatorics
AU - Cuntz, Michael
AU - Pokora, Piotr
PY - 2024/11/23
Y1 - 2024/11/23
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.
M3 - Preprint
BT - Singular plane curves: freeness and combinatorics
ER -