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arxiv: 1810.07685 · v2 · pith:NTC42IP7new · submitted 2018-10-17 · 🧮 math.AG · math.DG· math.RT

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

Yuji Odaka , Yoshiki Oshima This is my paper
classification 🧮 math.AG math.DGmath.RT
keywords collapsingmetricsmodulimorgan-shalensatakesurfacestypecompactification
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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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  1. Special Lagrangian submanifolds and circle collapse on K3

    math.DG 2026-06 unverdicted novelty 5.0

    Constructs degenerating special Lagrangian two-spheres and tori in collapsing K3 surfaces that lift from affine lines on a three-dimensional base, including connections between Taub-NUT bubbles.