2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126220In this paper it is proved that the volumes of the moduli spaces of polarized CY manifolds with respect to the Weil-Petersson metrics are finite and they are rational numbers.The paper was accepted for publication in Communication in Analysis and Geometry. The remark of the referee were incorporated. Some typos were correctedHigh Energy Physics - TheoryAlgebraic Geometrytext