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arXiv · 2005.14367

Logarithmic derivations associated to line arrangements

Ricardo Burity·Stefan Tohaneanu
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Abstract

In this paper we give full classification of rank 3 line arrangements in $\mathbb P^2$ (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. The classification presents their defining polynomials, up to a change of variables, with their corresponding affine pictures. We also analyze the shape of such a logarithmic derivation, towards obtaining criteria for a line arrangement to possess a cubic minimal logarithmic derivation.

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Ricardo Burity, Stefan Tohaneanu. 2023-12-15. Logarithmic derivations associated to line arrangements. https://arxiv.org/abs/2005.14367

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