10 citations · 23 across the 9 of their papers we have counts for
10 papers
Lagrangian families of Bridgeland moduli spaces from Gushel-Mukai fourfolds
Soheyla Feyzbakhsh, Hanfei Guo, Zhiyu Liu +1
Let be a very general Gushel-Mukai (GM) variety of dimension , and let be a smooth hyperplane section. There are natural pull-back and push-forward functors betwee…
Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds
Zhiyu Liu, Yongbin Ruan
We prove a conjectural vanishing result for Gopakumar--Vafa invariants of quintic 3-folds, referred to as Castelnuovo bound in the literature. Furthermore, we calculate Gopakumar--…
Cutting sequence and Sturmian sequence in billiard
Zhiyu Liu
The winning rule of billiards is to drive the billiard ball on the table into the designated holes. We try to study the trajectory of the billiard ball, so that we can predict the…
Brill-Noether reconstruction of index one prime Fano threefolds
Augustinas Jacovskis, Zhiyu Liu, Shizhuo Zhang
We show by a uniform argument that every index one prime Fano threefold of genus can be reconstructed as a Brill-Noether locus inside a Bridgeland moduli space of sta…
A moduli theoretic approach to Lagrangian subvarieties of hyperkähler varieties: Examples
Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
We propose two conjectures on a moduli theoretic approach to constructing Lagrangian subvarieties of hyperkähler varieties arising from the Kuznetsov components of cubic fourfolds…
Infinitesimal categorical Torelli theorems for Fano threefolds
Augustinas Jacovskis, Xun Lin, Zhiyu Liu +1
Let be a smooth Fano variety and the Kuznetsov component. Torelli theorems for says that it is uniquely determined by a polarized abelian va…
Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces
Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
We identify the double dual EPW sextic and the double EPW sextic , associated with a very general Gushel-Mukai fourfold , with the B…
Categorical Torelli theorems for Gushel-Mukai threefolds
Augustinas Jacovskis, Xun Lin, Zhiyu Liu +1
We show that a general ordinary Gushel-Mukai(GM) threefold is reconstructed from the Kuznetsov component together with an extra data coming from tautological…
A note on Bridgeland moduli spaces and moduli spaces of sheaves on and
Zhiyu Liu, Shizhuo Zhang
We study Bridgeland moduli spaces of semistable objects of -classes and -classes in the Kuznetsov components on index one prime Fano threefold of degree $4d+…
Global geometry and topology of spacelike stationary surfaces in the 4-dimensional Lorentz space
Zhiyu Liu, Xiang Ma, Changping Wang +1
For spacelike stationary (i.e. zero mean curvature) surfaces in 4-dimensional Lorentz space one can naturally introduce two Gauss maps and Weierstrass representation. In this paper…