Yongqiang Liu

activity

20162025

most citedGeneric vanishing for semi-abelian varieties and integral Alexander modules

5 citations · 14 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AG2021

$L^{2}$ -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 $ν : π_{1} (X) ↠ Z$ . In this paper, we consider the asymptotic behaviour of inv…

math.AG2021

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…

math.AG2021

Generic Vanishing, 1-forms, and Topology of Albanese Maps

Yajnaseni Dutta, Feng Hao, Yongqiang Liu

Given a bounded constructible complex of sheaves $F$ on a complex Abelian variety, we prove an equality relating the cohomology jump loci of $F$ and its singula…

math.AG2021★ 1 cited

Cohomological connectivity of perturbations of map-germs

Yongqiang Liu, Guillermo Peñafort Sanchis, Matthias Zach

Let $f : (C^{n}, S) \to (C^{p}, 0)$ be a finite map-germ with $n < p$ and $Y_{δ}$ the image of a small perturbation $f_{δ}$ . We show that the reduced cohomology of $Y_{δ}$ is…

L2-type invariants and cohomology jump loci for complex smooth quasi-projective varieties

Non-abelian Mellin Transformations and Applications

Generic Vanishing, 1-forms, and Topology of Albanese Maps

Cohomological connectivity of perturbations of map-germs

$L^{2}$ -type invariants and cohomology jump loci for complex smooth quasi-projective varieties