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Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type (1810.07685v2)
Published 17 Oct 2018 in math.AG, math.DG, and math.RT
Abstract: 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.
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