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math.AG2026
Cyclic Spectral Data
Hao Sun
In this paper, we study cyclic spectral data on smooth varieties over an algebraically closed field in characteristic zero. We show that the Hitchin fiber of any nonzero cyclic spe…
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
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…