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Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie

· 2023 · math.AG · arXiv 2311.02437

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

This is an unchanged version of an unpublished, ``state of the art'' survey given at a conference held in Stuttgart in 2001 to celebrate the 100th birthday of Richard Brauer. This text was recently quoted in several papers on the period-index problem for central simple algebras.

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math.AG 1

years

2026 1

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ACCEPT 1

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The period-index conjecture is false

math.AG · 2026-08-04 · accept · novelty 8.0

The period-index conjecture is disproved: for every d≥3 there is a variety with a 2-torsion Brauer class of index 2^{d-1}, exceeding the conjectural bound.

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  • The period-index conjecture is false math.AG · 2026-08-04 · accept · none · ref 3 · internal anchor

    The period-index conjecture is disproved: for every d≥3 there is a variety with a 2-torsion Brauer class of index 2^{d-1}, exceeding the conjectural bound.