24 citations · 96 across the 38 of their papers we have counts for
38 papers
Nonlinear Bochner-Kodaira-Nakano identity and nonlinear Hodge correspondence for morphisms
Nianzi Li, Mao Sheng
We establish a nonlinear Bochner-Kodaira-Nakano identity for sections of complex fiber bundles. As applications, we obtain a nonlinear Bochner-type vanishing theorem for holomorphi…
Uniformization as Tannakian Reconstruction
Xiaojin Lin, Mao Sheng
Classical hyperbolic uniformization identifies every hyperbolic log-orbi curve with a compactified quotient of the upper half-plane by a cofinite Fuchsian lattice. The lattice is u…
Connections, metrics and Higgs fields on complex fiber bundles
Nianzi Li, Mao Sheng
We give a differential-geometric representation of the extension class associated to a holomorphic fibration, generalizing the work of Atiyah on holomorphic principal bundles in a…
Nonlinear Harmonic Bundles
Mao Sheng
We generalize the notion of harmonic bundles in nonabelian Hodge theory to the nonlinear setting.
Nonabelian Kodaira-Spencer maps
Yixuan Fu, Mao Sheng
We give an explicit formula of the associated graded map to the nonabelian Gauss-Manin connection with respect to the nonabelian Hodge filtration.
A torsion property of the zero of Kodaira-Spencer over removing four points
Xiaojin Lin, Mao Sheng, Jianping Wang
We establish a torsion theorem to the effect that the unique zero of the Kodaira-Spencer map attached to a certain quasi-semistable family of complex projective varieties over the…