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math.NT2022
Criterion for surjectivity of localization in Galois cohomology of a reductive group over a number field
Mikhail Borovoi, Zev Rosengarten
Let be a connected reductive group over a number field , and let be a set (finite or infinite) of places of . We give a necessary and sufficient condition for the sur…
math.AG2022
Picard Groups Of Algebraic Groups And An Affineness Criterion
Zev Rosengarten
We prove that an algebraic group over a field is affine precisely when its Picard group is torsion, and show that in this case the Picard group is finite when is perfect, an…