The non-archimedean SYZ fibration
Author(s)
Nicaise, Johannes; Xu, Chenyang; Yu, Tony Yue
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© 2019 The Authors. 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-dimensional strata.
Date issued
2019Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Compositio Mathematica
Publisher
Wiley