Period-index bounds for arithmetic threefolds

Benjamin Antieau, Asher Auel, Colin Ingalls, Daniel Krashen, Max Lieblich

Research output: Contribution to journalArticle

Abstract

The standard period-index conjecture for Brauer groups of p-adic surfaces S predicts that ind(α)|per(α)3 for every α∈Br(Qp(S)). Using Gabber’s theory of prime-to-ℓ alterations and the deformation theory of twisted sheaves, we prove that ind(α)|per(α)4 for α of period prime to 6p, giving the first uniform period-index bounds over such fields.

Original languageEnglish (US)
Pages (from-to)301-335
Number of pages35
JournalInventiones Mathematicae
Volume216
Issue number2
DOIs
StatePublished - May 1 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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