论文标题

$ \ MATHCAL {Q} $ - 复杂投影平面中的锥形布置

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

论文作者

Pokora, Piotr

论文摘要

我们研究$ \ Mathcal {q} $的几何形状 - 复杂的投影平面中的圆锥布置。这些是由光滑的圆锥体组成的布置,它们承认某些准同质奇异性。我们表明,这种$ \ MATHCAL {Q} $ - 锥形布置永远是免费的。此外,我们提供了这种安排弱组合的组合约束。

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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