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Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface
Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, Ruobing Zhang
Source abstract
We exhibit families of Ricci-flat Kähler metrics on the K3 surface which collapse to an interval, with Tian-Yau and Taub-NUT metrics occurring as bubbles. There is a corresponding continuous surjective map from the K 3 K3 surface to the interval, with regular fibers diffeomorphic to either 3 3 -tori or Heisenberg nilmanifolds.
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