3 papers
math.AG2025
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…
math.AG2024
Atomic sheaves on hyper-Kähler manifolds via Bridgeland moduli spaces
Hanfei Guo, Zhiyu Liu
In this paper, we provide new examples of 1-obstructed and atomic sheaves on an infinite series of locally complete families of projective hyper-Kähler manifolds. More precisely, (…
math.AG2022
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…