Categories of complex variations of Hodge structure over compact K"ahler manifolds
Algebraic Geometry
2022-07-25 v1 Category Theory
Complex Variables
K-Theory and Homology
Representation Theory
Abstract
We give a complex polarized variation of Hodge structure over a compact K"ahler manifold which controls all finite-dimensional complex polarized variations of Hodge structure over and their tensor relations. As a corollary, we obtain the cohomology algebra with values in a local system admitting multiplicative Hodge structures.
Keywords
Cite
@article{arxiv.2207.10902,
title = {Categories of complex variations of Hodge structure over compact K"ahler manifolds},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:2207.10902},
year = {2022}
}
Comments
12 pages. Comments welcome