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arXiv · 1912.11681

Gysin morphisms for non-transversal hyperplane sections with an application to line arrangements

Federico Venturelli
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Abstract

We prove the existence of Gysin morphisms for hyperplane sections that may not satisfy the usual hypotheses of the Lefschetz hyperplane theorem. As an application, we show the triviality of the Alexander polynomial of a particular class of non-symmetric line arrangements, thus providing positive evidence for a conjecture of Papadima and Suciu.

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Federico Venturelli. 2019-12-25. Gysin morphisms for non-transversal hyperplane sections with an application to line arrangements. https://arxiv.org/abs/1912.11681

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