2 citations · 3 across the 10 of their papers we have counts for
10 papers
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…
Universal Constants, Law of Inertia and Emergent Geometry
Zhi Hu, Mulin Yan, Runhong Zong
In this paper, we only treat the law of inertia as the first principle, then a nontrivial geometry emerges by introducing more universal constants, in which the main ideas appearin…
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…
-Gauge Field Theories on -Manifolds
Zhi Hu, Runhong Zong
In this paper, we investigate two types of -gauge field theories on -manifolds. One is the -Yang-Mills theory which admits the classical instanton solutions, we sh…
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…
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…
Weak approximation for Fano complete intersections in positive characteristic
Jason Michael Starr, Zhiyu Tian, Runhong Zong
For a smooth curve over an algebraically closed field , for every -flat complete intersection in of type …
Weak Approximation for Isotrivial Families
Zhiyu Tian, Hong R. Zong
We prove weak approximation for isotrivial families of rationally connected varieties defined over the function field of a smooth projective complex curve.