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math.AG2024
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…
math.AG2024
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…
math.AG2024
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…