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math.AG2026
Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations
Moritz Hartlieb, Saket Shah
Following ideas of Kapustka-Kapustka, we use Lagrangian fibrations to construct twisted hyperholomorphic sheaves on products of hyperkähler manifolds of K3- and OG10-type.…
math.AG2026
Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves
Moritz Hartlieb, Weite Pi
We study Brauer groups of the smooth loci in linear systems on simply connected smooth projective varieties. Under a suitable ampleness condition, we prove that the Brauer group is…
math.AG2026
Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components
Moritz Hartlieb, Saket Shah
In this note, we generalize results of Donagi and Pantev on twisted derived equivalences between elliptically fibered surfaces to higher dimensions. First, we establish a twisted d…