Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology
Algebraic Geometry
2021-08-18 v6 Differential Geometry
Abstract
We prove a theorem of Leray-Hirsch type and give an explicit blow-up formula for Dolbeault cohomology on (\emph{not necessarily compact}) complex manifolds. We give applications to strongly -complete manifolds and the -lemma.
Keywords
Cite
@article{arxiv.1806.11435,
title = {Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology},
author = {Lingxu Meng},
journal= {arXiv preprint arXiv:1806.11435},
year = {2021}
}
Comments
16 pages, original title "An explicit formula of blow-ups for Dolbeault cohomology", add some applications, update the references