By Piotr Pokora

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.

November 10, 2022

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

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