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

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arxiv 1810.07685 v2 pith:NTC42IP7 submitted 2018-10-17 math.AG math.DGmath.RT

Yuji Odaka , Yoshiki Oshima This is my paper · ORCID
classification math.AGmath.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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