English

Hodge theory for twisted differentials

Differential Geometry 2015-04-09 v1 Complex Variables

Abstract

We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C\mathcal{C} of Fujiki. We give a Hodge-theoretical proof of the characterization of solvmanifolds in class C\mathcal{C} of Fujiki, first proven by D. Arapura.

Keywords

Cite

@article{arxiv.1407.3928,
  title  = {Hodge theory for twisted differentials},
  author = {Daniele Angella and Hisashi Kasuya},
  journal= {arXiv preprint arXiv:1407.3928},
  year   = {2015}
}
R2 v1 2026-06-22T05:04:18.501Z