3 papers
math.AG2026
The cohomology groups of finite cyclic covers of complexified real arrangement complements
Wentao Xie
In this paper, we study the cohomology groups of finite cyclic covers of complexified real arrangement complements. An open problem is whether the torsion in the (co)homology of fi…
math.AG2025
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.AG2025
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…