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math.DG2023
A short proof of the surjectivity of the period map on K3 manifolds
Hongyi Liu
In this note, we give a simple proof of the Todorov's surjectivity result on the period map of K3 surfaces in a differential geometric setting. Our proof makes use of collasping ge…
math.DG2022
A compactness theorem for hyperkaehler 4-manifolds with boundary
Hongyi Liu
In this paper, we study the compactness of a boundary value problem for hyperkaehler 4-manifolds. We show that under certain topological conditions and the positive mean curvature…