Hecke correspondences for Hilbert schemes of reducible locally planar curves

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

引用次数: 8

Abstract

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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可约局部平面曲线Hilbert格式的Hecke对应

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。

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

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