61 citations · 180 across the 25 of their papers we have counts for
29 papers
Rigid stable vector bundles on hyperkähler varieties of type
Kieran Gregory O'Grady
We prove existence and unicity of slope stable vector bundles on a general polarized hyperkähler (HK) variety of type with certain discrete invariants, provided the rank…
Theta groups and projective models of hyperkähler varieties
Kieran G. O'Grady
We define the theta group associated to a simple coherent sheaf on a hyperkähler manifold of Kummer type or OG6 type, provided is isomorphic to $\cal…
Rank 4 stable vector bundles on hyperkähler fourfolds of Kummer type
Kieran G. O'Grady
We partially extend to hyperkähler fourfolds of Kummer type the results that we have proved regarding stable rigid vector bundles on hyperkähler (HK) varieties of type .…
Moduli of sheaves on 's and higher dimensional HK varieties
Kieran G. O'Grady
We review a proof of the well know result stating that moduli spaces of stable sheaves with fixed Chern character on a polarized surface are deformations of a hyperkähler vari…
The geometry of antisymplectic involutions, I
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady +1
We study fixed loci of antisymplectic involutions on projective hyperkähler manifolds of -type. When the involution is induced by an ample class of square 2 in t…
Modular sheaves on hyperkähler varieties
Kieran G. O'Grady
A torsion free sheaf on a hyperkähler variety is modular if the discriminant satisfies a certain condition, for example if it is a multiple of the sheaf is modular. Th…