2 papers
math.DG2025
Gauss-Bonnet formula for metrics with logarithmic singularities on compact Riemann surfaces
Yuanjiu Lyu, Bin Xu
We prove a generalization of the classical Gauss-Bonnet formula for metrics with logarithmic singularities on compact Riemann surfaces, under the condition that the Gaussian curvat…
math.DG2025
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 …