The non-archimedean SYZ fibration
Name
1802.00287.pdf
Description
Accepted version
Size
250.54 KB
Format
Adobe PDF
Checksum (MD5)
1284fa78e468527a3ba2a562c2c11437
Author(s)
Nicaise, Johannes
Xu, Chenyang
Yu, Tony Yue
Date Issued
2019
Journal
Compositio Mathematica
Publisher
Wiley
Version
Author's final manuscript
Abstract
© 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1112/S0010437X19007152
