Hypercohomologies of truncated twisted holomorphic de Rham complexes
Algebraic Geometry
2020-06-02 v2 Complex Variables
Abstract
We investigate the hypercohomologies of truncated twisted holomorphic de Rham complexes on (not necessarily compact) complex manifolds. In particular, we generalize Leray-Hirsch, K\"{u}nneth and Poincar\'{e}-Serre duality theorems on them. At last, a blowup formula is given, which affirmatively answers a question posed by Chen, Y. and Yang, S. in \cite{CY}.
Keywords
Cite
@article{arxiv.1909.00368,
title = {Hypercohomologies of truncated twisted holomorphic de Rham complexes},
author = {Lingxu Meng},
journal= {arXiv preprint arXiv:1909.00368},
year = {2020}
}
Comments
16 pages