English

Vanishing Theorem for the de Rham Complex of Unitary Local System

Algebraic Geometry 2018-10-08 v1

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.

Keywords

Cite

@article{arxiv.1810.02747,
  title  = {Vanishing Theorem for the de Rham Complex of Unitary Local System},
  author = {Hongshan Li},
  journal= {arXiv preprint arXiv:1810.02747},
  year   = {2018}
}