Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces
classification
🧮 math.DG
math.AG
keywords
metricsintervalricci-flatsurfacesbubblescollapsecollapsingcontinuous
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.