Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Zong, Runhong"'
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-Varadarajan's result for the case without parahoric structures [5] an
Externí odkaz:
http://arxiv.org/abs/2409.05073
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 appearing in deformed special relativity (DSR), (Anti-)de Sitter special relat
Externí odkaz:
http://arxiv.org/abs/2303.02556
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 of moduli spaces of curves can be understood from the viewpoint of anab
Externí odkaz:
http://arxiv.org/abs/2301.04864
This paper considers the moduli spaces (stacks) of parabolic bundles (parabolic logarithmic flat bundles with given spectrum, parabolic regular Higgs bundles) with rank 2 and degree 1 over $\mathbb{P}^1$ with five marked points. The foliation and str
Externí odkaz:
http://arxiv.org/abs/2108.08994
Autor:
Hu, Zhi, Zong, Runhong
In this paper, we investigate two types of $U(1)$-gauge field theories on $G_2$-manifolds. One is the $U(1)$-Yang-Mills theory which admits the classical instanton solutions, we show that $G_2$-manifolds emerge from the anti-self-dual $U(1)$ instanto
Externí odkaz:
http://arxiv.org/abs/2102.05578
Publikováno v:
In Bulletin des sciences mathématiques March 2024 191
Autor:
Hu, Zhi, Zong, Runhong
Publikováno v:
Communications in Mathematical Physics, Volume 378, Number 2, pp 891-915 (2020)
In this paper, we will generalize some results in Manin's paper "Three-dimensional hyperbolic geometry as $\infty$-adic Arakelov geometry" to the supergeometric setting. More precisely, viewing $\mathbb{C}^{1|1}$ as the boundary of the hyperbolic sup
Externí odkaz:
http://arxiv.org/abs/2012.11961
In this paper, we generalize the construction of Deligne-Hitchin twistor space by gluing two certain Hodge moduli spaces. We investigate such generalized Deligne-Hitchin twistor space as a complex analytic manifold. More precisely, we show it admits
Externí odkaz:
http://arxiv.org/abs/2010.06893
Autor:
Hu, Zhi, Zong, Runhong
We prove that a pointed one dimensional family of varieties $\mathcal{X}\to {b\in B}$ in positive characteristics is locally stable iff the log pair $(\mathcal{X'}, \mathcal{X}'_{b'})$ arising from its base change to the perfectoid base $b'\in B_{per
Externí odkaz:
http://arxiv.org/abs/2001.04083
For a smooth curve $B$ over an algebraically closed field $k$, for every $B$-flat complete intersection $X_B$ in $B\times_{\text{Spec}\ k} \mathbb{P}^n_k$ of type $(d_1,\dots,d_c)$, if the Fano index is $\geq 2$ and if $\text{char}(k)>\max(d_1,\dots,
Externí odkaz:
http://arxiv.org/abs/1811.02466