Differential Geometry of the Mixed Hodge Metric
classification
🧮 math.AG
math.CVmath.DG
keywords
hodgemetricbundlescurvaturemixedperiodahlerapplications
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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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