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Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type

Published 17 Oct 2018 in math.AG, math.DG, and math.RT | (1810.07685v2)

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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Authors (2)

  1. Yuji Odaka 
  2. Yoshiki Oshima 

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