摘要: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 and to the topology of the Albanese map. This is a joint work with Laurentiu Maxim and Botong Wang.
个人简介:
2015年予中科院获得博士学位,2015.09--2018.08. Postdoc in Department of Mathematics at KU Leuven in Belgium, under the supervision of Nero Budur;20018.09--Present. Postdoc in Basque Center for Applied Mathematics in Spain, under the supervision of Javier Fernandez de Bobadilla. 在Adv. Math.,Math. Ann.,Selecta Math.,Math. Z.等杂志上发表过文章。
邀请人:杜荣