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arXiv · 1810.02747

Vanishing Theorem for the de Rham Complex of Unitary Local System

Hongshan Li
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Abstract

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 Rham complex, and prove a stronger statement for the associated graded complex.

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Hongshan Li. 2018-10-05. Vanishing Theorem for the de Rham Complex of Unitary Local System. https://arxiv.org/abs/1810.02747

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