17 citations · 75 across the 24 of their papers we have counts for
12 papers · 1 filter
Quasi-Projectivity of Weighted Right-Angled Artin Groups
Yongqiang Liu, Xiaobin Xu
Weighted right-angled Artin groups generalize right-angled Artin groups by adding weights to the edges of the defining graphs. We classify the weighted right-angled Artin groups th…
Brylinski-Radon transformation and generic projections
Yongqiang Liu, Laurentiu Maxim, Botong Wang
Using the Brylinski-Radon transformation, we prove that under a generic surjective linear map from C^n to C^m, the pushforward of a perverse sheaf is perverse, modulo shifts of con…
-type invariants and cohomology jump loci for complex smooth quasi-projective varieties
Fenglin Li, Yongqiang Liu
Let X be a complex smooth quasi-projective variety with a fixed epimorphism . In this paper, we consider the asymptotic behaviour of inv…
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…
Generic Vanishing, 1-forms, and Topology of Albanese Maps
Yajnaseni Dutta, Feng Hao, Yongqiang Liu
Given a bounded constructible complex of sheaves on a complex Abelian variety, we prove an equality relating the cohomology jump loci of and its singula…
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…
Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollár
Yongqiang Liu, Laurenţiu Maxim, Botong Wang
In their 2012 paper, Bobadilla and Kollár studied topological conditions which guarantee that a proper map of complex algebraic varieties is a topological or differentiable fibrati…
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…
On the length of perverse sheaves and D-modules
Nero Budur, Pietro Gatti, Yongqiang Liu +1
We prove that the length function for perverse sheaves and algebraic regular holonomic D-modules on a smooth complex algebraic variety Y is an absolute Q-constructible function. On…
The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties
Nero Budur, Yongqiang Liu, Botong Wang
Given any connected topological space , assume that there exists an epimorphism . The deck transformation group acts on the associated inf…
Cohomology support loci of local systems
Nero Budur, Yongqiang Liu, Luis Saumell +1
The support S of Sabbah's specialization complex is a simultaneous generalization of the set of eigenvalues of the monodromy on Deligne's nearby cycles complex, of the support of t…