2 citations · 2 across the 5 of their papers we have counts for
6 papers
Stable atomic vector bundles are 1-obstructed
Hanfei Guo
We prove that every stable atomic (twisted) vector bundle on a projective hyper-Kähler manifold is 1-obstructed. In the appendix, we construct a simple atomic object that is not 1-…
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…
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, (…
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…
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…
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…