Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface
Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface
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DOI：
10.1090/jams/978
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发表时间：
2018-07
影响因子：
3.9
通讯作者：
H. Hein;Song Sun;Jeff A. Viaclovsky;Ruobing Zhang
中科院分区：
文献类型：
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作者：
H. Hein;Song Sun;Jeff A. Viaclovsky;Ruobing Zhang
我们展示了家庭的Ricci平坦的Kahler度量K3表面崩溃的一个区间，与田丘和陶布NUT度量发生泡沫。从K3曲面到区间有一个相应的连续满射映射，其正则纤维与3-环面或Heisenberg流形同构。
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.