5 citations · 9 across the 6 of their papers we have counts for
8 papers
Non-abelian Mellin Transformations and Applications
Yongqiang Liu, Laurenţiu Maxim, Botong Wang
We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalization to the non-abelian c…
Cohomological connectivity of perturbations of map-germs
Yongqiang Liu, Guillermo Peñafort Sanchis, Matthias Zach
Let be a finite map-germ with and the image of a small perturbation . We show that the reduced cohomology of is…
The deletion restriction method for plane curve germ complement
Yongqiang Liu
We study the cohomology jump loci of rank one local systems for the plane curve germ complement by the deletion restriction method. In particular, the deletion restriction type res…
Length of Perverse Sheaves on Hyperplane Arrangements
Nero Budur, Yongqiang Liu
In this article we address the length of perverse sheaves arising as direct images of rank one local systems on complements of hyperplane arrangements. In the case of a cone over a…
Perverse sheaves on semi-abelian varieties -- a survey of properties and applications
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We survey recent developments in the study of perverse sheaves on semi-abelian varieties. As concrete applications, we discuss various obstructions on the homotopy type of complex…
Perverse sheaves on semi-abelian varieties
Yongqiang Liu, Laurentiu Maxim, Botong Wang
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…