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arXiv · 1807.09367

Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

Hans-Joachim Hein·Song Sun·Jeff Viaclovsky·Ruobing Zhang
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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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Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, Ruobing Zhang. 2018-07-24. Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces. https://arxiv.org/abs/1807.09367

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