9 citations · 30 across the 12 of their papers we have counts for
13 papers
Resolutions of compact balanced spaces
Jixiang Fu, Wei Xia
Let be a compact reduced balanced complex space of pure dimension . We prove that every resolution of singularities of is a balanced manifold; in particular, be…
On congruences involving Apéry numbers
Wei Xia, Zhi-Wei Sun
In this paper, we mainly establish a congruence for a sum involving Apéry numbers, which was conjectured by Z.-W. Sun. Namely, for any prime and positive odd integer , we…
A novel permanent identity with applications
Yue-Feng She, Zhi-Wei Sun, Wei Xia
Let be a positive integer, and define the rational function as the permanent of the matrix , where $$x_{j,k}=\begin{cases}(x_…
Variation of Hodge structures for non-Kähler manifolds
Wei Xia
In this note, we discuss unpolarized, complex variation of Hodge structures for non-Kähler manifolds. In particular, given a holomorphic family of compact complex manifolds whose c…
Deformations of Dolbeault cohomology classes for Lie algebra with complex structures
Wei Xia
In this paper, we study deformations of complex structures on Lie algebras and its associated deformations of Dolbeault cohomology classes. A complete deformation of complex struct…
On the deformed Bott-Chern cohomology
Wei Xia
Given a compact complex manifold and a integrable Beltrami differential , we introduce a double complex structure on natu…