Translation-invariant line bundles on linear algebraic groups

Zev Rosengarten

doi:10.1090/jag/753

Translation-invariant line bundles on linear algebraic groups

Zev Rosengarten

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	433-455
Number of pages	23
Journal	Journal of Algebraic Geometry
Volume	30
Issue number	3
DOIs	https://doi.org/10.1090/jag/753
State	Published - 2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.1090/jag/753

Cite this

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DO - 10.1090/jag/753

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JO - Journal of Algebraic Geometry

JF - Journal of Algebraic Geometry

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Translation-invariant line bundles on linear algebraic groups

Abstract

All Science Journal Classification (ASJC) codes

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