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math.DG2025
Stable parabolic Higgs bundles of rank two and singular hyperbolic metrics
Yu Feng, Bin Xu
In this paper, we construct a stable parabolic Higgs bundle of rank two, which corresponds to the uniformization associated with a conformal hyperbolic metric on a compact Riemann…
math.DG2024
Existence and non-uniqueness of cone spherical metrics with prescribed singularities on a compact Riemann surface with positive genus
Yu Feng, Jijian Song, Bin Xu
Cone spherical metrics, defined on compact Riemann surfaces, are conformal metrics with constant curvature one and finitely many cone singularities. Such a metric is termed \textit…