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arXiv · 1407.4082

Differential Geometry of the Mixed Hodge Metric

Gregory Pearlstein·Chris Peters
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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.

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Gregory Pearlstein, Chris Peters. 2014-07-15. Differential Geometry of the Mixed Hodge Metric. https://arxiv.org/abs/1407.4082

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