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 language | English |
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Pages (from-to) | 559-564 |
Number of pages | 6 |
Journal | Comptes Rendus Mathematique |
Volume | 361 |
Issue number | G2 |
DOIs | |
State | Published - 2023 |
Bibliographical note
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