4 papers · 1 filter
On bicanonical maps of threefolds of general type with large volumes
Chen Jiang, Ziqi Liu
We prove that for any smooth projective -fold of general type with canonical volume greater than , the image of its bicanonical map has dimension at least . We also stu…
EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds
Ziqi Liu, Shizhuo Zhang
We show that the double dual EPW sextic associated with a strongly smooth Gushel-Mukai surface can be realized as a moduli space of semistable objects on its bounded derived catego…
Stability conditions on irreducible projective curves
Ziqi Liu
This note revisits stability conditions on the bounded derived categories of coherent sheaves on irreducible projective curves. In particular, all stability conditions on smooth cu…
Derived-natural automorphisms on Hilbert schemes of points on generic K3 surfaces
Ziqi Liu
The article revisits birational and biregular automorphisms of the Hilbert scheme of points on a K3 surface from the perspective of derived categories. Under the assumption that th…