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arXiv · 1805.01724

Collapsing K3 Surfaces and Moduli Compactification

Yuji Odaka·Yoshiki Oshima
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Abstract

This note is a summary of our work [OO] which provides an explicit and global moduli-theoretic framework for the collapsing of Ricci-flat Kahler metrics and we use it to study especially the K3 surfaces case. For instance, it allows us to discuss their Gromov-Hausdorff limits along any sequences, which are even not necessarily "maximally degenerating". Our results also give a proof of Kontsevich-Soibelman [KS04, Conjecture 1] (cf., [GW00, Conjecture 6.2]) in the case of K3 surfaces as a byproduct.

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Yuji Odaka, Yoshiki Oshima. 2018-05-04. Collapsing K3 Surfaces and Moduli Compactification. https://arxiv.org/abs/1805.01724

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