Differential Geometry of the Mixed Hodge Metric
Algebraic Geometry
2017-04-13 v2 Complex Variables
Differential Geometry
Abstract
We investigate properties of the Hodge metric of a mixed period domain. In particular, we calculate its curvature and the curvature of the Hodge bundles. We also consider when the pull back metric via a period map is K\"ahler. Several applications in cases of geometric interest are given, such as for normal functions and biextension bundles.
Keywords
Cite
@article{arxiv.1407.4082,
title = {Differential Geometry of the Mixed Hodge Metric},
author = {Gregory Pearlstein and Chris Peters},
journal= {arXiv preprint arXiv:1407.4082},
year = {2017}
}
Comments
Ameliorated exposition. Accepted for publication in Communications in Analysis and Geometry