2 citations · 5 across the 11 of their papers we have counts for
11 papers
Stratified Hyperbolicity of the moduli stack of stable minimal models, II: Big Picard Theorem and the stratified Brody hyperbolicity
Junchao Shentu
This is the second paper on the global geometry of Birkar's moduli of stable minimal models (e.g., the KSBA moduli stack). We introduces a birationally admissible stratification of…
Stratified Hyperbolicity of the moduli stack of stable minimal models, I
Junchao Shentu
In this paper, we introduce a birationally admissible stratification on the Deligne-Mumford stack of stable minimal models (e.g., the KSBA moduli stack), such that the universal fa…
Kollár's Package for Twisted Saito's S-sheaves
Junchao Shentu, Chen Zhao
We generalize Kollár's conjecture (including torsion freeness, injectivity theorem, vanishing theorem and decomposition theorem) to Saito's -sheaves twisted by a -di…
-Extension of Adjoint bundles and Kollár's Conjecture
Junchao Shentu, Chen Zhao
We give a new proof of Kollár's conjecture on the pushforward of the dualizing sheaf twisted by a variation of Hodge structure. This conjecture was settled by M. Saito via mixed Ho…
-representation of Hodge Modules
Junchao Shentu, Chen Zhao
Over an arbitrary compact complex space or an arbitrary germ of complex space , we provide fine resolutions of pure Hodge modules with strict supports via dif…
MacPherson's Conjecture via Hörmander Estimate
Junchao Shentu, Chen Zhao
In this notes we reprove MacPherson's conjecture on -cohomology through Demailly's formulation of Hörmander's Estimate. This approach allows us to weaken the condition o…