Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type. (arXiv:1810.07685v1 [math.AG])

We provide a moduli-theoretic framework for the collapsing of Ricci-flat Kahler metrics via compactification of moduli varieties of Morgan-Shalen and Satake type. In patricular, we use it to study the Gromov-Hausdorff limits of hyperKahler metrics with fixed diameters, especially for K3 surfaces. 查看全文>>