Collapsing Ricci-flat metrics on elliptic K3 surfaces

Gao Chen, Jeff Viaclovsky, Ruobing Zhang

For any elliptic K3 surface $\mathfrak{F}:\mathcal{K}\to {\mathbb{P}}^1$, we construct a family of collapsing Ricci-flat Kähler metrics such that curvatures are uniformly b…