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arXiv · 1211.3766

Cohomology jump loci of quasi-projective varieties

Nero Budur·Botong Wang
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Abstract

We prove that the cohomology jump loci in the space of rank one local systems over a smooth quasi-projective variety are finite unions of torsion translates of subtori. The main ingredients are a recent result of Dimca-Papadima, some techniques introduced by Simpson, together with properties of the moduli space of logarithmic connections constructed by Nitsure and Simpson.

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Nero Budur, Botong Wang. 2014-04-08. Cohomology jump loci of quasi-projective varieties. https://arxiv.org/abs/1211.3766

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