可约局部平面曲线Hilbert格式的Hecke对应

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2019-09-01 DOI:10.14231/ag-2019-024

Oscar Kivinen

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引用次数: 8

摘要

设C是一条复杂的、简化的局部平面曲线。通过构造作用于V =⊕n>0H BM * (C [n]，Q)的代数A，将Rennemo [R14]的结果推广到可约曲线，其中C [n]是C上n个点的Hilbert格式。如果m是C的不可约分量的个数，我们实现了A是A2m的Weyl代数的子代数。我们还计算了一个节点的最简单可约示例中的表示V。

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Hecke correspondences for Hilbert schemes of reducible locally planar curves

Let C be a complex, reduced, locally planar curve. We extend the results of Rennemo [R14] to reducible curves by constructing an algebra A acting on V = ⊕ n>0H BM ∗ (C [n],Q), where C [n] is the Hilbert scheme of n points on C. If m is the number of irreducible components of C, we realize A as a subalgebra of the Weyl algebra of A2m. We also compute the representation V in the simplest reducible example of a node.

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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.

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