2 papers
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 $\ma…
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 numer…