Degenerated Calabi–Yau varieties with infinite components, moduli compactifications, and limit toroidal structures

We explicitly construct special Lagrangian fibrations on finite quotients of maximally degenerating abelian varieties and glue these to the Berkovich retraction to form a “hybrid” fibration. We also study their symmetries explicitly that can be regarded as crystallographic groups. In particular, a conjecture of Kontsevich–Soibelman [ 24, Conjecture 3] is solved at an enhanced level for finite quotients of abelian varieties in any dimension.

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Degenerated Calabi–Yau varieties with infinite components, moduli compactifications, and limit toroidal structures

Cited by 2 publications

References 113 publications

Some models for bubbling of (log) Kähler–Einstein metrics

Some models for bubbling of (log) Kähler–Einstein metrics

Special Lagrangian Fibrations, Berkovich Retraction, and Crystallographic Groups

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