Dolbeault Type Cohomology Groups of Infinitesimal Deformations and Their Applications
Algebraic Geometry
2023-04-21 v1
Abstract
In this paper, we establish a kind of Dolbeault type cohomology groups for the purpose of studying the varying of complex structure invariants in infinitesimal deformations of any order. We give a concrete description of the higher order Kodaria-Spencer maps by using these cohomology groups. We reformulate the obstruction formulas within the framework of these cohomology groups and give a new proof for the formulas.
Keywords
Cite
@article{arxiv.2304.10355,
title = {Dolbeault Type Cohomology Groups of Infinitesimal Deformations and Their Applications},
author = {Jiezhu Lin and Xuanming Ye},
journal= {arXiv preprint arXiv:2304.10355},
year = {2023}
}