论文标题

特殊的拉格朗日纤维,伯科维奇缩回和晶体学组

Special Lagrangian fibrations, Berkovich retraction, and crystallographic groups

论文作者

Goto, Keita, Odaka, Yuji

论文摘要

我们通过使用“混合动力”技术在非架构的几何形状中明确构建特殊的拉格朗日纤维,以最大变化的阿贝尔品种的有限商胶合胶质胶合胶质胶合。我们还明确研究了它们的对称性,可以被视为晶体学组。特别是,Kontsevich-Soibelman的猜想以增强的水平解决了任何维度的Abelian品种的有限商。

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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