3 papers
math.AG2026
Degenerations of generalized Kummer varieties
Lars H. Halle, Klaus Hulek, Ziyu Zhang
We present a method to construct explicit degenerations of higher-dimensional generalized Kummer varieties. We start with a simple degeneration of abelian sur…
math.AG2025
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…
math.AG2024
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…