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math.AG2018
Vanishing Theorem for the de Rham Complex of Unitary Local System
Hongshan Li
We will prove a Kodaira-Nakano type of vanishing theorem for the logarithmic de Rham complex of unitary local system. We will then study the weight filtration on the logarithmic de…
math.AG2018
Vanishing theorems for parabolic Higgs bundles
Donu Arapura, Feng Hao, Hongshan Li
This is a sequel to "Kodaira-Saito vanishing via Higgs bundles in positive characteristic" (arXiv:1611.09880). However, unlike the previous paper, all the arguments here are in cha…