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arXiv · 1511.08938

On the exponents of free and nearly free projective plane curves

Alexandru Dimca·Gabriel Sticlaru
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Abstract

We show that all the possible pairs of integers occur as exponents for free or nearly free irreducible plane curves and line arrangements, by producing only two types of simple families of examples. The topology of the complements of these curves and line arrangements is also discussed, and many of them are shown not to be $K(π,1)$ spaces.

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Alexandru Dimca, Gabriel Sticlaru. 2015-12-21. On the exponents of free and nearly free projective plane curves. https://arxiv.org/abs/1511.08938

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