10 citations · 25 across the 17 of their papers we have counts for
18 papers
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…
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…
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_+,…
Stability and Indecomposability of the Representations of Quivers of -type
Pengfei Huang, Zhi Hu
In his paper \cite{MR1}, Markus Reineke proposed a conjecture that there exists a stable weight system for every indecomposable representation of Dynkin type quiver. In this pa…
Simpson-Mochizuki Correspondence for -Flat Bundles
Zhi Hu, Pengfei Huang
The notion of flat -connections as the interpolation of usual flat connections and Higgs fields was suggested by Deligne and further studied by Simpson. Mochizuki established th…
Yang-Mills Theory and the ABC Conjecture
Yang-Hui He, Zhi Hu, Malte Probst +1
We establish a precise correspondence between the ABC Conjecture and N=4 super-Yang-Mills theory. This is achieved by combining three ingredients: (i) Elkies' method of mapping ABC…
Symplectic group and Heisenberg group in p-adic quantum mechanics
Zhi Hu, Sen Hu
This paper treats mathematically some problems in p-adic quantum mechanics. We first deal with p-adic symplectic group corresponding to the symmetry on the classical phase space. B…
Degenerate and Stable Yang-Mills-Higgs Pairs
Zhi Hu, Sen Hu
In this paper, we introduce some notions on the pair consisting of a Chern connection and a Higgs field closely related to the first and second variation of Yang-Mills- Higgs funct…
Two-Parameter Dynamics and Geometry
Zhi Hu, Mulin Yan, Sen Hu
In this paper we present the two-parameter dynamics which is implied by the law of inertia in flat spacetime. A remarkable perception is that (A)dS4 geometry may emerge from the tw…