线性代数群上的平移不变线束

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2018-06-27 DOI:10.1090/jag/753

Zev Rosengarten

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引用次数: 11

摘要

研究了连通线性代数群的Picard群，特别是平移不变线束的子群。证明了这个子群在所有全局函数域上是有限的。我们也利用我们对这些群的研究来构造局部和全局函数域上交换线性代数群的病态行为的各种例子。

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Translation-invariant line bundles on linear algebraic groups

We study the Picard groups of connected linear algebraic groups and especially the subgroup of translation-invariant line bundles. We prove that this subgroup is finite over every global function field. We also utilize our study of these groups in order to construct various examples of pathological behavior for the cohomology of commutative linear algebraic groups over local and global function fields.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.