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.…
Semiorthogonal decompositions and components of derived categories of orthogonal Grassmannian fibrations
Saket Shah
Kuznetsov showed that for a flat quadric fibration over a smooth base , admits a semiorthogonal decomposition where one of the componen…
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…
Flips for spaces of quadrics on del Pezzo varieties
Saket Shah
For a cubic hypersurface , work of Galkin--Shinder and Voisin shows the existence of a birational map relating the Hilbert scheme of two points with a certain projecti…
On decompositions for Fano schemes of intersections of two quadrics
Pieter Belmans, Jishnu Bose, Sarah Frei +6
We propose conjectural semiorthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated hyperelli…
Stability conditions on crepant resolutions of quotients of product varieties
Alexander Perry, Saket Shah
We construct stability conditions on crepant resolutions of certain quotients of product varieties, giving as a special case the first examples of stability conditions on strict Ca…