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Results tagged with weil-petersson-metric
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The Weil-Petersson metric is a Kahler metric on the moduli space of Calabi-Yau varieties, the moduli space of general type varieties, the moduli space of K-stable Fano varieties, and more generally, we can define it on the moduli space of stable varieties.
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Weil-Petersson metric with respect to covering
Let $S$ be a closed oriented surface of genus $g\geq 2$. Consider the Teichmuller space $T(S)$. Let $d_t$ be the Teichmuller metric and $d_{WP}$ be the Weil-Petersson metric on $T(S)$. Let $P:S_1\righ …
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