ON THE NUMBER OF POINTS OVER FINITE FIELDS ON VARIETIES RELATED TO CLUSTER ALGEBRAS

被引：2

作者：

Chapoton, F. ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

GLASGOW MATHEMATICAL JOURNAL | 2011年 / 53卷

关键词：

D O I：

10.1017/S0017089510000777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We start here the study of some algebraic varieties related to cluster algebras. These varieties are defined as the fibres of the projection map from the cluster variety to the affine space of coefficients. We compute the number of points over finite fields on these varieties, for all simply laced Dynkin diagrams. We also compute the cohomology with compact support in some cases.

引用

页码：141 / 151

页数：11

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