Étale twists in noncommutative algebraic geometry and the twisted Brauer space

Benjamin Antieau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper studies étale twists of derived categories of schemes and associative algebras. A general method, based on a new construction called the twisted Brauer space, is given for classifying étale twists, and a complete classification is carried out for genus 0 curves, quadrics, and noncommutative projective spaces. A partial classification is given for curves of higher genus. The techniques build upon my recent work with David Gepner on the Brauer groups of commutative ring spectra.

Original languageEnglish (US)
Pages (from-to)161-192
Number of pages32
JournalJournal of Noncommutative Geometry
Volume11
Issue number1
DOIs
StatePublished - 2017
Externally publishedYes

Keywords

  • Brauer groups
  • Derived categories
  • Hochschild cohomology
  • Twisted forms

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Mathematical Physics
  • Geometry and Topology

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