From the 1 of 7 linked papers with an AI index.
7 papers
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
The paper extends Bridgeland stability conditions from projective schemes to families over arbitrary bases, establishing proper relative moduli spaces and proving related mass‑Hom…
Bridgeland-Enriques general K3 surfaces
Ziqi Liu
This article introduces a notion of Bridgeland-Enriques general K3 surfaces motivated by the study of Enriques categories over K3 surfaces and the invariant Bridgeland stability co…
On two families of Enriques categories over K3 surfaces
Ziqi Liu
This article studies the moduli spaces of semistable objects related to two families of Enriques categories over K3 surfaces, coming from quartic double solids and special Gushel-M…
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…
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…
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…