Godeaux-Serre varieties and the étale index

Benjamin Antieau, Ben Williams

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We use Godeaux-Serre varieties of finite groups, projective representation theory, the twisted Atiyah-Segal completion theorem, and our previous work on the topological period-index problem to compute the étale index of Brauer classes α Brét(X) in some specific examples. In particular, these computations show that the étale index of α differs from the period of α in general. As an application, we compute the index of unramified classes in the function fields of high-dimensional Godeaux-Serre varieties in terms of projective representation theory.

Original languageEnglish (US)
Pages (from-to)283-295
Number of pages13
JournalJournal of K-Theory
Volume11
Issue number2
DOIs
StatePublished - Apr 2013
Externally publishedYes

Keywords

  • 20C25
  • Mathematics Subject Classification 2010: Primary: 14F22
  • Secondary: 19L50

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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