Communications in Analysis and Geometry

Volume 27 (2019)

Number 3

Differential geometry of the mixed Hodge metric

Pages: 671 – 742

DOI: https://dx.doi.org/10.4310/CAG.2019.v27.n3.a6

Authors

Gregory Pearlstein (Department of Mathematics, Texas A&M University, College Station, Tx., U.S.A.)

Chris Peters (Faculteit Wiskunde en Informatica, Eindhoven University of Technology, The Netherlands)

Abstract

We investigate properties of the mixed 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 Kähler. Several applications in cases of geometric interest are given, such as for normal functions and biextension bundles.

Full Text (PDF format)

Received 20 July 2016

Accepted 17 March 2017

Published 3 September 2019