| dc.contributor.author | Maulik, Davesh | |
| dc.contributor.author | Shen, Junliang | |
| dc.contributor.author | Yin, Qizheng | |
| dc.contributor.author | Zhang, Ruxuan | |
| dc.date.accessioned | 2025-06-23T19:29:00Z | |
| dc.date.available | 2025-06-23T19:29:00Z | |
| dc.date.issued | 2025-06-09 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/159543 | |
| dc.description.abstract | We show that birational hyper-Kähler varieties of K 3 [ n ] -type are derived equivalent, establishing the D -equivalence conjecture in these cases. The Fourier–Mukai kernels of our derived equivalences are constructed from projectively hyperholomorphic bundles, following ideas of Markman. Our method also proves a stronger version of the D -equivalence conjecture for hyper-Kähler varieties of K 3 [ n ] -type with Brauer classes. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00222-025-01339-8 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-ShareAlike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Maulik, D., Shen, J., Yin, Q. et al. The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles. Invent. math. 241, 309–324 (2025). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Inventiones mathematicae | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2025-06-19T03:27:32Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2025-06-19T03:27:32Z | |
| mit.journal.volume | 241 | en_US |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
