1 citations · 1 across the 5 of their papers we have counts for
5 papers
A smooth but non-symplectic moduli of sheaves on a hyperkähler variety
Andreas Krug, Fabian Reede, Ziyu Zhang
For an abelian surface , we consider stable vector bundles on a generalized Kummer variety with . We prove that the connected component of the moduli space which c…
Enriques surfaces with trivial Brauer map and involutions on hyperkähler manifolds
Fabian Reede
Let be an Enriques surface. Using Beauville's result about the triviality of the Brauer map of , we define a new involution on the category of coherent sheaves on the canoni…
Hermitian Azumaya modules and arithmetic Chern classes
Fabian Reede
We compute arithmetic Chern classes of sheaves on an arithmetic surface X associated to a Hermitian Azumaya algebra.
A Deligne pairing for Hermitian Azumaya modules
Fabian Reede
In this short note we want to give a definition of a generalized Deligne pairing for modules over an Azumaya algebra on an arithmetic surface . We do this by defining Hermitian…
Vector bundles and Arakelov geometry on the projective line over the integers
Fabian Reede
We study locally free sheaves of rank two on the projective line over the integers, especially indecomposable ones. Subsequently we apply various concepts of Arakelov geometry to t…