10 citations · 25 across the 17 of their papers we have counts for
7 papers · 1 filter
Simpson filtrations and closure relations of Hodge moduli spaces
Zhi Hu, Pengfei Huang, Fei Yu
In this paper, we study closure relations of Simpson strata in Hodge moduli spaces over a smooth complex projective curve of genus and prove in every rank that the Heinlot…
Deformation theory of parabolic representation pairs
Zhi Hu, Pengfei Huang, Wanmin Yan +1
In this paper, we introduce the notions of parabolic representation pairs and the parabolic representation pair variety. We investigate the deformation theory of parabolic represen…
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…
Topological Structures of Moduli Spaces of Curves and Anabelian Geometry in Positive Characteristic
Zhi Hu, Yu Yang, Runhong Zong
In the present paper, we study a new kind of anabelian phenomenon concerning the smooth pointed stable curves in positive characteristic. It shows that the topological structures o…
Moduli spaces of parabolic bundles over with five marked points
Zhi Hu, Pengfei Huang, Runhong Zong
This paper considers the moduli spaces/stacks of parabolic bundles (parabolic logarithmic flat bundles and parabolic logarithmic Higgs bundles with given spectrum) of rank 2 and de…
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…