Remarks on the Chern classes of Calabi-Yau moduli

Published 23 Dec 2014 in math.DG | (1412.7221v1)

Abstract: We prove that the first Chern form of the moduli space of polarized Calabi-Yau manifolds, with the Hodge metric or the Weil-Petersson metric, represent the first Chern class of the canonical extensions of the tangent bundle to the compactification of the moduli space with normal crossing divisors.

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