Picard Groups of Algebraic Groups and an Affineness Criterion

Zev Rosengarten*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that an algebraic group over a field k is affine precisely when its Picard group is torsion, and show that in this case the Picard group is finite when k is perfect, and the product of a finite group of order prime to p and a p-primary group of finite exponent when k is imperfect of characteristic p.

Original languageEnglish
Pages (from-to)559-564
Number of pages6
JournalComptes Rendus Mathematique
Volume361
Issue numberG2
DOIs
StatePublished - 2023

Bibliographical note

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© 2023 Academie des sciences. All rights reserved.

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