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arXiv · 1007.2737

A curvature formula for the complexified index cone of a cubic form

Thomas Trenner
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Abstract

We study the Kaehler metric given by the logarithm of a cubic form on its complexified index cone. Under mirror symmetry, this metric should asymptotically correspond to the Weil-Petersson metric. Using the theory of special Kaehler manifolds, a proof of a curvature formula for this metric is given.

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Thomas Trenner. 2010-07-16. A curvature formula for the complexified index cone of a cubic form. https://arxiv.org/abs/1007.2737

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