1 citations · 1 across the 9 of their papers we have counts for
11 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…
A counterexample to the curve semistability conjecture for Higgs bundles
Pengfei Huang
In this paper, we give a counterexample to the Bruzzo--Graña Otero conjecture on the curve semistability for Higgs bundles. Let be a very general smooth plane quintic curve and…
Tangent discontinuity in the oper stratification of de Rham moduli spaces
Pengfei Huang
Let be a smooth complex projective curve of genus , and let be the moduli space of flat bundles of rank . Over the stable locus, Simpson…
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…
Symmetric spaces for groups over involutive algebras and applications to Higgs bundles
Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov +1
We study symplectic groups and indefinite orthogonal groups over involutive, possibly noncommutative, algebras . In the case when the algebra is Hermitian, or the…
An ideal-sparse generalized moment problem reformulation for completely positive tensor decomposition exploiting maximal cliques of multi-hypergraphs
Pengfei Huang, Minru Bai
In this paper, we consider the completely positive tensor decomposition problem with ideal-sparsity. First, we propose an algorithm to generate the maximal cliques of multi-hypergr…
Rigid -connections and nilpotency of -curvatures
Pengfei Huang, Yichen Qin, Hao Sun
Motivated by Simpson's conjecture on the motivicity of rigid irreducible connections, Esnault and Groechenig demonstrated that the mod- reductions of such connections on smooth…
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…
Filtered Stokes G-local Systems in Nonabelian Hodge Theory on Curves
Pengfei Huang, Hao Sun
In the wild nonabelian Hodge correspondence on curves, filtered Stokes G-local systems are regarded as the objects on the Betti side. In this paper, we demonstrate a construction o…
Moduli Spaces of Filtered G-local Systems on Curves
Pengfei Huang, Hao Sun
In this paper, we construct the moduli spaces of filtered -local systems on curves for an arbitrary reductive group over an algebraically closed field of characteristic zero…
The low-rank approximation of fourth-order partial-symmetric and conjugate partial-symmetric tensor
Amina Sabir, Pegnfei Huang, Qingzhi Yang
We present an orthogonal matrix outer product decomposition for the fourth-order conjugate partial-symmetric (CPS) tensor and show that the greedy successive rank-one approximation…