The period-index problem for fields of transcendence degree $2$

Pages 391-427 from Volume 182 (2015), Issue 2 by Max Lieblich

Abstract

Using geometric methods we prove the standard period-index conjecture for the Brauer group of a field of transcendence degree $2$ over $\mathbf{F}_p$.

Keywords
, , , , ,
Mathematical Subject Classification

Primary 2000: , , , ,

DOI
https://doi.org/10.4007/annals.2015.182.2.1
MR
3418522
zbMATH
06487144
Milestones
Received: 13 January 2011
Revised: 31 December 2014
Accepted: 4 February 2015
Published online: 30 July 2015

Authors

Max Lieblich

University of Washington, Seattle, WA