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20072026
most citedPolarized Variation of Hodge Structures of Calabi-Yau Type and Characteristic Subvarieties Over Bounded Symmetric Domains

24 citations · 96 across the 38 of their papers we have counts for

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36 papers · 1 filter

math.AG2026

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…

math.AG2025

Nonlinear Harmonic Bundles

Mao Sheng

We generalize the notion of harmonic bundles in nonabelian Hodge theory to the nonlinear setting.

math.AG2025

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.

math.AG2022★ 1 cited

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…

math.AG2021

Tensor product theorem for parabolic -connections

Mao Sheng, Jianping Wang

We establish a tensor product theorem for slope semistable parabolic -connections over smooth projective varieties in arbitrary characteristic.

math.AG2021

Twisted functoriality in nonabelian Hodge theory in positive characteristic

Mao Sheng

We establish the twisted functoriality in nonabelian Hodge theory in positive characteristic. As an application, we obtain a purely algebraic proof of the fact that the pullback of…