# The non-archimedean SYZ fibration

@article{Nicaise2019TheNS,
title={The non-archimedean SYZ fibration},
author={J. Nicaise and Xu Chen and Tony Yue Yu},
journal={Compositio Mathematica},
year={2019},
volume={155},
pages={953 - 972}
}
• Published 1 February 2018
• Mathematics
• Compositio Mathematica
We construct non-archimedean SYZ (Strominger–Yau–Zaslow) 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 (divisorially log terminal) models along one… Expand
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