4 papers
Moduli spaces of generalised tautological bundles on Hilbert schemes
Andreas Krug, Fabian Reede, Ziyu Zhang
We construct new stable vector bundles on Hilbert schemes of points on algebraic surfaces, which are parametrised by connected components of their moduli spaces. This work generali…
Semi-Orthogonal Decompositions for Rank Two Imprimitive Reflection Groups
Andreas Krug
For every imprimitive complex reflection group of rank 2, we construct a semi-orthogonal decomposition of the derived category of the associated global quotient stack which categor…
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…
Hochschild cohomology of Hilbert schemes of points on surfaces
Pieter Belmans, Lie Fu, Andreas Krug
We compute the Hochschild cohomology of Hilbert schemes of points on surfaces and observe that it is, in general, not determined solely by the Hochschild cohomology of the surface,…