Differential geometry of the mixed Hodge metric

C.A.M. Peters, G. Pearlstein

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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 a for normal functions and biextension bundles.
Original languageEnglish
Article number1407.4082
Number of pages53
JournalCommunications in Analysis and Geometry
Publication statusPublished - 2017

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