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arXiv · 1810.07685

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

Yuji Odaka·Yoshiki Oshima
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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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Yuji Odaka, Yoshiki Oshima. 2018-10-17. Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type. https://arxiv.org/abs/1810.07685

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