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math.AG2025
The period-index problem for hyperkähler varieties: Lower and upper bounds
Alessio Bottini, Daniel Huybrechts
It is expected that a stronger form of the period-index conjecture holds for hyperkähler varieties. Following ideas of Hotchkiss, we provide further evidence for this expectation b…
math.AG2024
The period-index problem for hyperkähler manifolds
Daniel Huybrechts
We conjecture that every unramified Brauer class on a projective hyperkähler manifold satisfies . We provide evi…