Collapsing \(K3\) surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type

DOI10.1142/e071zbMath1474.14064arXiv1810.07685OpenAlexW2896308479MaRDI QIDQ2040922

Yuji Odaka, Yoshiki Oshima

Publication date: 14 July 2021

Published in: MSJ Memoirs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07685

zbMATH Keywords

\(K3\) surfacemoduli space of principally polarized abelian varietiesGromov-Hausdorff limitstropical compactificationMorgan-Shalen compactification

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau theory (complex-analytic aspects) (32Q25) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Families, moduli of curves (analytic) (14H15) Mirror symmetry (algebro-geometric aspects) (14J33)

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