A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
preprint, 32 pages, https://arxiv.org/abs/2302.13719, to appear in IAS/Park City Mathematics Series, AMS
2 Pith papers cite this work. Polarity classification is still indexing.
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An alternative proof is provided for Wittenberg's descent conjecture on weak approximation with Brauer-Manin obstruction for rationally connected torsors under connected linear groups, using Cao's descent formula.
citing papers explorer
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Solvable Descent and the Grunwald Problem for Solvable Groups
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
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A Simpler Approach to a Descent Conjecture of Wittenberg
An alternative proof is provided for Wittenberg's descent conjecture on weak approximation with Brauer-Manin obstruction for rationally connected torsors under connected linear groups, using Cao's descent formula.