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arXiv · 2602.23140

Modular interpretation of the Weil-Petersson metric asymptotics for abelian varieties

Yanbo Fang·Andres Gomez
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Abstract

As a first step towards a refined description of the asymptotic of the Weil-Petersson metric on the moduli space of polarized Calabi-Yau manifolds we investigate the concrete case of abelian varieties by linking such asymptotic with the multi-scale collapsing limits of the parametrized flat tori, as explicitly classified by Odaka.

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Yanbo Fang, Andres Gomez. 2026-02-26. Modular interpretation of the Weil-Petersson metric asymptotics for abelian varieties. https://arxiv.org/abs/2602.23140

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