5 citations · 9 across the 5 of their papers we have counts for
8 papers
Double EPW cubes from twisted cubics on Gushel-Mukai fourfolds
Soheyla Feyzbakhsh, Hanfei Guo, Zhiyu Liu +1
In this paper, we conduct the first systematic investigation of twisted cubics on Gushel-Mukai (GM) fourfolds. We then study the double EPW cube, a 6-dimensional hyperkähler manifo…
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…
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+…
Bridgeland Moduli spaces for Gushel-Mukai threefolds and Kuznetsov's Fano threefold conjecture
Shizhuo Zhang
We study the Hilbert scheme of twisted cubics on a special smooth Gushel-Mukai threefolds . We show that it is a smooth irreducible projective threefold if $X…
On cyclic strong exceptional collections of line bundles on surfaces
Alexey Elagin, Junyan Xu, Shizhuo Zhang
We study exceptional collections of line bundles on surfaces. We prove that any full cyclic strong exceptional collection of line bundles on a rational surface is an augmentation i…
Moduli of quiver representations for exceptional collections on surfaces
Xuqiang Qin, Shizhuo Zhang
Suppose is a smooth projective surface over an algebraically closed field , is a full strong exceptional collection of line bundles on .…