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- W2810273344 abstract "We study Picard groups of linear algebraic groups, especially the subgroup of primitive line bundles, and we prove that this subgroup is finite over every global function field. The proof of this finiteness rests crucially on the structure theory of pseudo-reductive groups developed by Conrad, Gabber, and Prasad. In the last section of the paper, various interesting counterexamples are constructed, over general fields and over local and global function fields. As discussed in the introduction, most of the results in sections 2, 3, and 5 are well-known to the experts, but we have included them here for the reader's convenience, and due to the lack of a reference collecting them all together in one place." @default.
- W2810273344 created "2018-07-10" @default.
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- W2810273344 date "2018-06-27" @default.
- W2810273344 modified "2023-09-24" @default.
- W2810273344 title "Picard Groups of Linear Algebraic Groups" @default.
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- W2810273344 hasPublicationYear "2018" @default.
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