Modular interpretation of the Weil-Petersson metric asymptotics for abelian varieties
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914357424685056 |
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| author | Fang, Yanbo Gomez, Andres |
| author_facet | Fang, Yanbo Gomez, Andres |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23140 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modular interpretation of the Weil-Petersson metric asymptotics for abelian varieties Fang, Yanbo Gomez, Andres Differential Geometry Algebraic Geometry 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. |
| title | Modular interpretation of the Weil-Petersson metric asymptotics for abelian varieties |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2602.23140 |