Communications in Mathematical Physics On the Weil-Petersson Volume and the First Chern Class of the Moduli Space of Calabi-Yau Manifolds

@inproceedings{Lu2005CommunicationsIM,
title={Communications in Mathematical Physics On the Weil-Petersson Volume and the First Chern Class of the Moduli Space of Calabi-Yau Manifolds},
author={Zhiqin Lu and Xiaofeng Sun},
year={2005}
}

In this paper, we proved that theWeil-Petersson volume of Calabi-Yau moduli is a rational number. We also proved that the integrations of the invariants of the Ricci curvature of the Weli-Petersson metric with respect to the Weil-Petersson volume form are all rational numbers.

Quasi-projective moduli for polarized manifolds. Volume 30 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas