| dc.contributor.author | Nicaise, Johannes | |
| dc.contributor.author | Xu, Chenyang | |
| dc.contributor.author | Yu, Tony Yue | |
| dc.date.accessioned | 2021-10-27T20:35:50Z | |
| dc.date.available | 2021-10-27T20:35:50Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/136539 | |
| dc.description.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. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.relation.isversionof | 10.1112/S0010437X19007152 | |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.source | arXiv | |
| dc.title | The non-archimedean SYZ fibration | |
| dc.type | Article | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.relation.journal | Compositio Mathematica | |
| dc.eprint.version | Author's final manuscript | |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | |
| dc.date.updated | 2021-05-26T17:14:00Z | |
| dspace.orderedauthors | Nicaise, J; Xu, C; Yu, TY | |
| dspace.date.submission | 2021-05-26T17:14:01Z | |
| mit.journal.volume | 155 | |
| mit.journal.issue | 5 | |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
