Differential geometry of the mixed Hodge metric

Gregory Pearlstein; Chris Peters

doi:10.4310/CAG.2019.v27.n3.a6

Differential geometry of the mixed Hodge metric

Gregory Pearlstein
, Chris Peters

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	671-742
Number of pages	72
Journal	Communications in Analysis and Geometry
Volume	27
Issue number	3
DOIs	https://doi.org/10.4310/CAG.2019.v27.n3.a6
Publication status	Published - 3 Sept 2019

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AB - 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.

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Differential geometry of the mixed Hodge metric

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