Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces
Differential Geometry
2018-07-26 v1 Algebraic Geometry
Abstract
We exhibit families of Ricci-flat Kahler metrics on K3 surfaces which collapse to an interval, with Tian-Yau and Taub-NUT metrics occurring as bubbles. There is a corresponding continuous surjective map from the K3 surface to the interval, with regular fibers diffeomorphic to either 3-tori or Heisenberg nilmanifolds.
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Cite
@article{arxiv.1807.09367,
title = {Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces},
author = {Hans-Joachim Hein and Song Sun and Jeff Viaclovsky and Ruobing Zhang},
journal= {arXiv preprint arXiv:1807.09367},
year = {2018}
}
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95 pages