English

Coherence of direct images of the De Rham complex

Algebraic Geometry 2016-12-01 v6

Abstract

We show the coherence of the direct images of the De Rham complex relative to a flat holomorphic map with suitable boundary conditions. For this purpose, a notion of bi-dg-algbera called the Koszul-De Rham algbera is dveloped.

Keywords

Cite

@article{arxiv.1502.04872,
  title  = {Coherence of direct images of the De Rham complex},
  author = {Kyoji Saito},
  journal= {arXiv preprint arXiv:1502.04872},
  year   = {2016}
}

Comments

24 pages, revised