3 papers
math.AG2025
A twisted derived category of hyper-Kähler varieties of -type
Ruxuan Zhang
We conjecture that a natural twisted derived category of any hyper-Kähler variety of -type is controlled by its Markman-Mukai lattice. We prove the conjecture under nume…
math.AG2025
The period-index problem for hyper-Kähler varieties via hyperholomorphic bundles
James Hotchkiss, Davesh Maulik, Junliang Shen +2
We prove new bounds for the period-index problem for hyper-Kähler varieties of -type using projectively hyperholomorphic bundles constructed by Markman. We show that $\m…
math.AG2025
The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles
Davesh Maulik, Junliang Shen, Qizheng Yin +1
We show that birational hyper-Kähler varieties of -type are derived equivalent, establishing the D-equivalence conjecture in these cases. The Fourier-Mukai kernels of ou…