2 papers
math.AG2022
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…
math.AG2022
representation of Simpson-Mochizuki's prolongation of Higgs bundles and the Kawamata-Viehweg vanishing theorem for semistable parabolic Higgs bundles
Chen Zhao
In this paper, we provide an fine resolution of the prolongation of a nilpotent harmonic bundle in the sense of Simpson-Mochizuki (an analytic analogue of the Kashiwara-Malgr…