The Harmonic 2-forms on K3 Surfaces Converging to a Flat 4-Dimensional Orbifold

Abstract In this article, we study the asymptotic behavior of harmonic 2-forms on K 3 surfaces with Ricci-flat Kähler metrics, where metrics converge to the quotient of a flat 4-dimensional torus by a finite group action. We can show that the space of anti-self-dual harmonic 2-forms decomposes into two subspaces: one converges to the flat 2-forms on the quotient of the torus, while the other converges to the first Chern forms of anti-self-dual connections on ALE spaces.