4 citations · 10 across the 5 of their papers we have counts for
7 papers
Kodaira-type Vanishings via Non-abelian Hodge Theory
Chuanhao Wei
In this paper, we use non-abelian Hodge Theory to study Kodaira type vanishings and its generalizations. In particular, we generalize Saito vanishing using Mixed Twistor D-modules.…
Cohomology of semisimple local systems and the Decomposition theorem
Chuanhao Wei, Ruijie Yang
In this paper, we study the cohomology of semisimple local systems in the spirit of classical Hodge theory. On the one hand, we establish a generalization of Hodge-Riemann bilinear…
Isotriviality of smooth families of varieties of general type
Chuanhao Wei, Lei Wu
In this paper, we proved that a log smooth family of log general type klt pairs with a special (in the sense of Campana) quasi-projective base is isotrivial. As a consequence, we p…
Hyperbolicity for log smooth families with maximal variation
Chuanhao Wei, Lei Wu
We prove that the base space of a log smooth family of log canonical pairs of log general type is of log general type as well as algebraically degenerate, when the family admits a…
Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms
Chuanhao Wei
In this paper, we prove that the zero-locus of any global holomorphic log-one-form on a projective log-smooth pair of log-general type must be non-empty. Applyin…
Logarithmic Comparison with smooth boundary divisor in Mixed Hodge Modules
Chuanhao Wei
We use filtered log--modules to represent the (dual) localization of Saito's Mixed Hodge Modules along a smooth hypersurface, and show that they also behave well under…
Fibration of log-general type space over quasi-abelian varieties
Chuanhao Wei
We show that there exists no smooth fibration of a smooth complex quasi-projective variety of log-general type over a quasi-abelian variety. The proof uses M. Popa and C. Schnell's…