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arXiv · 2403.20024

Construction of free arrangements using point-line operators

Piotr Pokora·Xavier Roulleau
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Abstract

We construct new examples of free curve arrangements in the complex projective plane using point-line operators recently defined by the second author. In particular, we construct a new example of a conic-line arrangement with ordinary quasi-homogeneous singularities that has non-trivial monodromy.

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Piotr Pokora, Xavier Roulleau. 2024-03-29. Construction of free arrangements using point-line operators. https://doi.org/10.1080/10586458.2026.2636061

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