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arXiv · 1804.05014

Perverse sheaves on semi-abelian varieties

Yongqiang Liu·Laurentiu Maxim·Botong Wang
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Abstract

We give a complete (global) characterization of complex perverse sheaves on semi-abelian varieties in terms of their cohomology jump loci. Our results generalize Schnell's work on perverse sheaves on complex abelian varieties, as well as Gabber-Loeser's results on perverse sheaves on complex affine tori. We apply our results to the study of cohomology jump loci of smooth quasi-projective varieties, to the topology of the Albanese map, and in the context of homological duality properties of complex algebraic varieties.

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Yongqiang Liu, Laurentiu Maxim, Botong Wang. 2018-04-13. Perverse sheaves on semi-abelian varieties. https://arxiv.org/abs/1804.05014

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