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

Thomas Trenner

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

Algebraic Geometry 2010-07-19 v1 Differential Geometry

Authors: Thomas Trenner

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.

Keywords

Kaehler metric cubic form complexified index cone mirror symmetry Weil-Petersson metric special Kaehler manifolds curvature formula

Cite

@article{arxiv.1007.2737,
  title  = {A curvature formula for the complexified index cone of a cubic form},
  author = {Thomas Trenner},
  journal= {arXiv preprint arXiv:1007.2737},
  year   = {2010}
}