𝒬-conic arrangements in the complex projective plane

Pokora, Piotr

doi:10.1090/proc/16376

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

Proc. Amer. Math. Soc. 151 (2023), 2873-2880

DOI: https://doi.org/10.1090/proc/16376

Published electronically: April 13, 2023

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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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