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arXiv · 2203.11503

$\mathcal{Q}$-conic arrangements in the complex projective plane

Piotr Pokora
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Abstract

We study the geometry of $\mathcal{Q}$-conic arrangements in the complex projective plane. These are arrangements consisting of smooth conics and they admit certain quasi-homogeneous singularities. We show that such $\mathcal{Q}$-conic arrangements are never free. Moreover, we provide combinatorial constraints of the weak combinatorics of such arrangements.

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Piotr Pokora. 2022-03-22. $\mathcal{Q}$-conic arrangements in the complex projective plane. https://doi.org/10.1090/proc/16376

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