On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds

Details On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds

2006-03-16

arxiv.org/abs/math/0603414v2

RIMS Kokyuroku 1487, 2006

Mathematics

Differential Geometry

Scientific paper

In this paper, we study the Chern classes on the moduli space of polarized
Calabi-Yau manifolds. We prove that the integrations of the invariants of the
curvature of the Weil-Petersson metric are finite. In some special cases, they
are even rational numbers.

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