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

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

2010-07-16

arxiv.org/abs/1007.2737v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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