17 citations · 75 across the 24 of their papers we have counts for
5 papers · 1 filter
Mellin transformation, propagation, and abelian duality spaces
Yongqiang Liu, Laurentiu Maxim, Botong Wang
For arbitrary field coefficients , we show that -perverse sheaves on a complex affine torus satisfy the so-called propagation package, i.e., the generic van…
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…
Milnor and Tjurina numbers for a hypersurface germ with isolated singularity
Yongqiang Liu
Assume that is an analytic function germ at the origin with only isolated singularity. Let and be the corresponding Milnor and Tjuri…
Generic vanishing for semi-abelian varieties and integral Alexander modules
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We revisit generic vanishing results for perverse sheaves with any field coefficients on a complex semi-abelian variety, and indicate several topological applications. In particula…
Topology of subvarieties of complex semi-abelian varieties
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We use the non-proper Morse theory of Palais-Smale to investigate the topology of smooth closed subvarieties of complex semi-abelian varieties, and that of their infinite cyclic co…