On the volume of some Fano K-moduli spaces (2012.05721v2)

Published 10 Dec 2020 in math.AG, math.DG, and math.SG

Abstract: We compute the CM volume, that is the degree of the descended CM line bundle, of the Fano K-moduli space of Quartic del Pezzo in any dimension, and of the K-moduli space of the log Fano hyperplane arrangements of dimension one and two. Furthermore, we relate these volumes to the Weil-Petersson volumes by extending the notion of Weil-Petersson metric in the log case.

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Authors (1)

Salvatore Tambasco

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