论文标题

关于一些Fano K-Moduli空间的体积

On the volume of some Fano K-moduli spaces

论文作者

Tambasco, Salvatore

论文摘要

我们计算了CM体积,即在任何维度上的Quartic del Pezzo的Fano K-Moduli空间的desced cm线束的程度,以及尺寸一和二维的log fano超平面布置的k-moduli空间。此外,我们通过在日志案例中扩展了Weil-Petersson指标的概念,将这些卷与Weil-Petersson的体积联系起来。

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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