Irreducible components of affine Deligne–Lusztig varieties

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-09-11 DOI:10.4310/cjm.2022.v10.n2.a2

S. Nie

引用次数: 11

Abstract

By extending the method of semi-modules developed by de Jong,Oort, Viehmann and Hamacher, we introduce a stratification for the affine Deligne-Lusztig variety (in the affine Grassmannian) attached to a basic element. As an application, we verify a conjecture, due to M. Chen and X. Zhu, on the irreducible components of the affine Deligne-Lusztig variety attached to a sum of dominant minuscule coweights.

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仿射delign - lusztig品种的不可约成分

通过扩展由de Jong,Oort, Viehmann和Hamacher开发的半模块方法，我们引入了附着在基本元素上的仿射delign - lusztig变体(仿射Grassmannian)的分层。作为一个应用，我们验证了M. Chen和X. Zhu关于仿射delignee - lusztig簇的不可约分量的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.