K3曲面上的幂零结构和折叠Ricci平坦度量

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2018-07-24 DOI:10.1090/JAMS/978

H. Hein, Song Sun, Jeff A. Viaclovsky, Ruobing Zhang

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引用次数: 46

摘要

我们在K3表面上展示了Ricci平坦Kahler度量家族，这些度量塌陷到一个区间，其中Tian Yau和Taub NUT度量以气泡的形式出现。从K3曲面到区间有一个相应的连续满射映射，其中规则纤维对3-tori或Heisenberg幂流形都是微分同胚的。

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Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface

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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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.