Showing 2024Show all
2 papers · 1 filter
math.DG2024
Counting Rational Curves and Standard Complex Structures on HyperKähler ALE 4-manifolds
Yuanjiu Lyu, Bin Xu
All hyperKähler ALE 4-manifolds with a given non-trivial finite group in at infinity are parameterized by an open dense subset of a real linear space of dimension ra…
math.DG2024
Hypercomplex structures arising from twistor spaces
Shuo Wang, Bin Xu
A hyperkähler manifold is defined as a Riemannian manifold endowed with three covariantly constant complex structures that are quaternionically related. A twistor space is characte…