可约局部平面曲线Hilbert格式的Hecke对应

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry 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

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.