The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles
Name
222_2025_1339_ReferencePDF.pdf
Size
599.19 KB
Format
Adobe PDF
Checksum (MD5)
91163c0a04579f8937ae3c08a32678fd
Author(s)
Maulik, Davesh
Shen, Junliang
Yin, Qizheng
Zhang, Ruxuan
Date Issued
June 9, 2025
Journal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
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).
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-ShareAlike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00222-025-01339-8
