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arXiv · 2206.14474

Special Lagrangian fibrations, Berkovich retraction, and crystallographic groups

Keita Goto·Yuji Odaka
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Abstract

We explicitly construct special Lagrangian fibrations on finite quotients of maximally degenerating abelian varieties, glue with Berkovich retraction in non-Archimedean geometry by using "hybrid" technique. We also study their symmetries explicitly which can be regarded as crystallographic groups. In particular, a conjecture of Kontsevich-Soibelman is solved at an enhanced level for finite quotients of abelian varieties in any dimension.

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Keita Goto, Yuji Odaka. 2022-06-29. Special Lagrangian fibrations, Berkovich retraction, and crystallographic groups. https://arxiv.org/abs/2206.14474

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