K3${}^{[n]}$型低维超kähler流形上的MBM类和收缩轨迹

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2019-07-30 DOI:10.14231/ag-2022-008

E. Amerik, M. Verbitsky

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引用次数: 2

摘要

超kahler流形上的MBM轨迹是具有负自交的最小有理曲线的所有变形的并集。MBM基因座可以等价地定义为双亚纯收缩的中心。证明了变形等价超kahler流形上的MBM轨迹是微分同胚的。我们使用对非代数K3曲面的Hilbert格式的变形来确定低维K3型hyperkahler流形上的MBM轨迹。

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MBM classes and contraction loci on low-dimensional hyperkähler manifolds of K3${}^{[n]}$ type

An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions. It was shown that the MBM loci on deformation equivalent hyperkahler manifolds are diffeomorphic. We determine the MBM loci on a hyperkahler manifold of K3-type of low dimension using a deformation to a Hilbert scheme of a non-algebraic K3 surface.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.