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Aise Johan de Jong, The period-index problem for the B rauer group of an algebraic surface , Duke Math · 2004

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math.AG 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 7

    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.