Chen Zhao

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20202025

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math.AG2022

$L^{2}$ 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 $L^{2}$ fine resolution of the prolongation of a nilpotent harmonic bundle in the sense of Simpson-Mochizuki (an analytic analogue of the Kashiwara-Malgr…

math.AG2021

$L^{2}$ -representation of Hodge Modules

Junchao Shentu, Chen Zhao

Over an arbitrary compact complex space or an arbitrary germ of complex space $X$ , we provide fine resolutions of pure Hodge modules with strict supports $I C_{X} (V)$ via dif…

L2 representation of Simpson-Mochizuki's prolongation of Higgs bundles and the Kawamata-Viehweg vanishing theorem for semistable parabolic Higgs bundles

L2-representation of Hodge Modules

$L^{2}$ representation of Simpson-Mochizuki's prolongation of Higgs bundles and the Kawamata-Viehweg vanishing theorem for semistable parabolic Higgs bundles

$L^{2}$ -representation of Hodge Modules