6 papers
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.…
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…
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…
On the topological Brauer group of generalized Kummer varieties
Moritz Hartlieb, Matteo Verni
We study the topological Brauer group of generalized Kummer varieties. We prove that it vanishes when their dimension is divisible by 4, while for all other dimensions except dimen…
A note on cubic fourfolds containing several planes
Moritz Hartlieb
We study the geometry, Hodge theory and derived category of cubic fourfolds containing several planes and their associated twisted K3 surfaces. We focus on the case of two planes i…
Special subvarieties in the locus of intermediate Jacobians of cubic threefolds
Moritz Hartlieb
We study special subvarieties, i.e., subvarieties containing a dense subset of CM points, of the moduli space of principally polarized abelian varieties of dimension five, ge…