27 citations · 72 across the 18 of their papers we have counts for
20 papers
Cartan Determinants in algebraic geometry
Yeqin Liu, Yu Shen, Ziyu Zhang
We formulate a dg-categorical analogue of the Cartan determinant conjecture using numerical Grothendieck groups. Let be a smooth proper dg category over an algebraically closed…
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…
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…
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…
Stable vector bundles on generalized Kummer varieties
Fabian Reede, Ziyu Zhang
For an abelian surface , we explicitly construct two new families of stable vector bundles on the generalized Kummer variety for . The first is the family…
Stability of some vector bundles on Hilbert schemes of points on K3 surfaces
Fabian Reede, Ziyu Zhang
Let be a projective K3 surfaces. In two examples where there exists a fine moduli space of stable vector bundles on , isomorphic to a Hilbert scheme of points, we prove…