Picard Groups of Algebraic Groups and an Affineness Criterion
Copyright policy )Picard Groups of Algebraic Groups and an Affineness Criterion
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 .
Affine algebraic groups, hyperalgebra constructions, Mathematics - Algebraic Geometry, Group schemes, QA1-939, FOS: Mathematics, Other algebraic groups (geometric aspects), Group varieties, Algebraic Geometry (math.AG), Mathematics, Linear algebraic groups over arbitrary fields
Affine algebraic groups, hyperalgebra constructions, Mathematics - Algebraic Geometry, Group schemes, QA1-939, FOS: Mathematics, Other algebraic groups (geometric aspects), Group varieties, Algebraic Geometry (math.AG), Mathematics, Linear algebraic groups over arbitrary fields
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