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arXiv · 1806.10292

Translation-Invariant Line Bundles On Linear Algebraic Groups

Zev Rosengarten
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Abstract

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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Zev Rosengarten. 2018-06-27. Translation-Invariant Line Bundles On Linear Algebraic Groups. https://arxiv.org/abs/1806.10292

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