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arXiv · 1802.00287

The non-archimedean SYZ fibration

Johannes Nicaise·Chenyang Xu·Tony Yue Yu
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Abstract

We construct non-archimedean SYZ fibrations for maximally degenerate Calabi-Yau varieties, and we show that they are affinoid torus fibrations away from a codimension two subset of the base. This confirms a prediction by Kontsevich and Soibelman. We also give an explicit description of the induced integral affine structure on the base of the SYZ fibration. Our main technical tool is a study of the structure of minimal dlt-models along one-dimensional strata.

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Johannes Nicaise, Chenyang Xu, Tony Yue Yu. 2019-02-15. The non-archimedean SYZ fibration. https://doi.org/10.1112/s0010437x19007152

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