Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type
Algebraic Geometry
2021-07-13 v2 Differential Geometry
Representation Theory
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.
Keywords
Cite
@article{arxiv.1810.07685,
title = {Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type},
author = {Yuji Odaka and Yoshiki Oshima},
journal= {arXiv preprint arXiv:1810.07685},
year = {2021}
}
Comments
v2: 184 pages. Published as MSJ Memoir vol.40 (minor revision after v1)