@article{6e0cc591f28b47359ea7de51ccd12c94,
title = "Nilpotent structures and collapsing RICCI-FLAT metrics on the K3 surface",
abstract = "We exhibit families of Ricci-flat K{\"a}hler 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 K3 surface to the interval, with regular fibers diffeomorphic to either 3-tori or Heisenberg nilmanifolds.",
author = "Hein, {Hans Joachim} and Song Sun and Jeff Viaclovsky and Ruobing Zhang",
note = "Funding Information: Received by the editors July 24, 2018, and, in revised form, June 5, 2020, January 15, 2021, and January 30, 2021. 2020 Mathematics Subject Classification. Primary 53C25, 53C26, 53C55. The first author was partially supported by NSF Grant DMS-1745517. The second author was supported by NSF Grant DMS-1708420, an Alfred P. Sloan Fellowship, and a grant from the Simons Foundation (♯488633, S.S.). The third author was partially supported by NSF Grant DMS-1811096. The fourth author was partially supported by NSF Grant DMS-1906265. Publisher Copyright: {\textcopyright} 2022, American Mathematical Society. All rights reserved.",
year = "2022",
doi = "10.1090/JAMS/978",
language = "English (US)",
volume = "35",
pages = "123--209",
journal = "Journal of the American Mathematical Society",
issn = "0894-0347",
publisher = "American Mathematical Society",
number = "1",
}