6 citations · 16 across the 5 of their papers we have counts for
12 papers · 1 filter
Picard hyperbolicity of manifolds admitting nilpotent harmonic bundles
Benoît Cadorel, Ya Deng
For a quasi-compact Kähler manifold endowed with a nilpotent harmonic bundle whose Higgs field is injective at one point, we prove that is pseudo-algebraically hyperbolic,…
Big Picard theorem for moduli spaces of polarized manifolds
Ya Deng
Consider a smooth projective family of complex polarized manifolds with semi-ample canonical sheaf over a quasi-projective manifold . When the associated moduli map f…
Hyperbolicity of coarse moduli spaces and isotriviality for certain families
Ya Deng
In this paper, we prove the Kobayashi hyperbolicity of the coarse moduli spaces of canonically polarized or polarized Calabi-Yau manifolds in the sense of complex -spaces (a gen…
Hyperbolicity of bases of log Calabi-Yau families
Ya Deng
In this paper, we prove that the quasi-projective base of any maximally variational smooth family of Calabi-Yau klt pairs is both of log general type, and pseudo Kobayashi hyperbol…
Pseudo Kobayashi hyperbolicity of base spaces of families of minimal projective manifolds with maximal variation
Ya Deng
In this paper we prove that every quasi-projective base space of smooth family of minimal projective manifolds with maximal variation is pseudo Kobayashi hyperbolic, i.e. i…
On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties
Ya Deng, with an appendix by Dan Abramovich
For smooth families with maximal variation, whose general fibers have semi-ample canonical bundle, the generalized Viehweg hyperbolicity conjecture states that the base spaces of s…