Morgan's mixed Hodge structures and nonabelian Hodge structures
Algebraic Geometry
2022-05-11 v2 Algebraic Topology
Complex Variables
Differential Geometry
K-Theory and Homology
Abstract
We refine the Morgan's work on mixed Hodge structures on Sullivan's --minimal models by using non-abelian Hodge theory. As an application, we give explicit representatives of real unipotent variations of mixed Hodge structures over compact K"ahler manifolds.
Keywords
Cite
@article{arxiv.1809.03716,
title = {Morgan's mixed Hodge structures and nonabelian Hodge structures},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:1809.03716},
year = {2022}
}
Comments
22 pages The paper have been shorten for journal submission purposes. Some contents in the previous version have been removed