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arXiv · 2305.01530

On cubic-line arrangements with simple singularities

Przemysław Talar
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Abstract

In the present note we study combinatorial and algebraic properties of cubic-line arrangements in the complex projective plane admitting nodes, ordinary triple and $A_{5}$ singular points. We deliver a Hirzebruch-type inequality for such arrangement and we study the freeness of such arrangements providing an almost complete classification.

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Przemysław Talar. 2023-05-02. On cubic-line arrangements with simple singularities. https://arxiv.org/abs/2305.01530

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