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arXiv · 1707.09806

Generic vanishing for semi-abelian varieties and integral Alexander modules

Yongqiang Liu·Laurentiu Maxim·Botong Wang
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Abstract

We revisit generic vanishing results for perverse sheaves with any field coefficients on a complex semi-abelian variety, and indicate several topological applications. In particular, we obtain finiteness properties for the integral Alexander modules of complex algebraic varieties mapping to semi-abelian varieties. Similar results were recently derived by the authors by using Morse-theoretic arguments.

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Yongqiang Liu, Laurentiu Maxim, Botong Wang. 2017-07-31. Generic vanishing for semi-abelian varieties and integral Alexander modules. https://arxiv.org/abs/1707.09806

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