Pengfei Huang

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20212026

most citedModuli Spaces of Filtered G-local Systems on Curves

1 citations · 1 across the 9 of their papers we have counts for

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math.AG2026

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 $g \geq 2$ and prove in every rank that the Heinlot…

math.AG2026

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 $Σ$ be a very general smooth plane quintic curve and…

math.AG2026

Tangent discontinuity in the oper stratification of de Rham moduli spaces

Pengfei Huang

Let $X$ be a smooth complex projective curve of genus $g$ , and let $M_{dR} (X, r)$ be the moduli space of flat bundles of rank $r$ . Over the stable locus, Simpson…