1 citations · 2 across the 5 of their papers we have counts for
9 papers
Parahoric reduction theory of formal connections (or Higgs fields)
Zhi Hu, Pengfei Huang, Ruiran Sun +1
In this paper, we establish the parahoric reduction theory of formal connections (or Higgs fields) on a formal principal bundle with parahoric structures, which generalizes Babbitt…
Hyperbolic Superspaces and Super-Riemann Surfaces
Zhi Hu, Runhong Zong
In this paper, we will generalize some results in Manin's paper "Three-dimensional hyperbolic geometry as -adic Arakelov geometry" to the supergeometric setting. More preci…
Curvature formulas related to a family of stable Higgs bundles
Zhi Hu, Pengfei Huang
In this paper, we investigate the geometry of the base complex manifold of an effectively parametrized holomorphic family of stable Higgs bundles over a fixed compact Kähler manifo…
Simpson Filtration and Oper Stratum Conjecture
Zhi Hu, Pengfei Huang
In this paper, we prove that for the oper stratification of the de Rham moduli space , the closed oper stratum is the unique minimal stratum with dimension $r…
On Base Change of Local Stability in Positive Characteristics
Zhi Hu, Runhong Zong
We prove that a pointed one dimensional family of varieties in positive characteristics is locally stable iff the log pair $(\mathcal{X'}, \mathcal{X}'_{b…
The Hitchin--Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds
Zhi Hu, Pengfei Huang
In this paper, we establish the Hitchin--Kobayashi correspondence for the -holomorphic quiver bundle over a compact generalized Kähler manifold $(X, I_+,…