Curvature properties of the Calabi-Yau moduli

  • Chin-Lung Wang

    Mathematics Division National Center for Theoretic Sciences National Tsing-Hua University Hsinchu, Taiwan
Curvature properties of the Calabi-Yau moduli cover
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Abstract

A curvature formula for the Weil-Petersson metric on the Calabi-Yau moduli spaces is given. Its relations to the Hodge metrics and the Bryant-Griffiths cubic form are obtained in the threefold case. Asymptotic behavior of the curvature near the boundary of moduli is also discussed via the theory of variations of Hodge structures.

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Chin-Lung Wang, Curvature properties of the Calabi-Yau moduli. Doc. Math. 8 (2003), pp. 577–590

DOI 10.4171/DM/152