3 papers
math.AG2024
Double star arrangement and the pointed multinet
Yongqiang Liu, Wentao Xie
Let be a hyperplane arrangement in a complex projective space. It is an open question if the degree one cohomology jump loci (with complex coefficients) are determine…
math.AG2023
The homology groups of finite cyclic covering of line arrangement complement
Yongqiang Liu, Wentao Xie
In this paper, we study the first homology group of finite cyclic covering of complex line arrangement complement. We show that this first integral homology group is torsion-free u…
math.AT2022
Integral homology groups of double coverings and rank one -local system for minimal CW complex
Ye Liu, Yongqiang Liu
Let be a connected finite CW complex. A connected double covering of is classified by a non-zero cohomology class . Denote the double covering spa…