欧拉对称投影变体

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-07-21 DOI:10.14231/ag-2020-011

Baohua Fu, Jun-Muk Hwang

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引用次数: 11

摘要

Euler对称投影变种是一类非退化投影变种，它允许许多Euler型的C*-作用。它们是准齐性的，并且在一般点上由它们的基本形式唯一决定。我们证明了欧拉对称投影变种可以用符号系统来分类，符号系统是一类在投影变种的一般点上以基本形式系统为模型的代数对象。我们研究了符号系统的代数性质和欧拉对称投影变体的几何性质之间的关系。我们还描述了维数为n的欧拉对称投影变种与向量群G_ a^n的等变紧致之间的关系。

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Euler-symmetric projective varieties

Euler-symmetric projective varieties are nondegenerate projective varieties admitting many C*-actions of Euler type. They are quasi-homogeneous and uniquely determined by their fundamental forms at a general point. We show that Euler-symmetric projective varieties can be classified by symbol systems, a class of algebraic objects modeled on the systems of fundamental forms at general points of projective varieties. We study relations between the algebraic properties of symbol systems and the geometric properties of Euler-symmetric projective varieties. We describe also the relation between Euler-symmetric projective varieties of dimension n and equivariant compactifications of the vector group G_a^n.

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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.