1 February 2018 Totaro’s question on zero-cycles on torsors
R. Gordon-Sarney, V. Suresh
Duke Math. J. 167(2): 385-395 (1 February 2018). DOI: 10.1215/00127094-2017-0040

Abstract

Let G be a smooth connected linear algebraic group, and let X be a G-torsor. Totaro asked: If X admits a zero-cycle of degree d1, then does X have a closed étale point of degree dividing d? While the literature contains affirmative answers in some special cases, we give examples to show that the answer is negative in general.

Citation

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R. Gordon-Sarney. V. Suresh. "Totaro’s question on zero-cycles on torsors." Duke Math. J. 167 (2) 385 - 395, 1 February 2018. https://doi.org/10.1215/00127094-2017-0040

Information

Received: 7 February 2017; Revised: 13 July 2017; Published: 1 February 2018
First available in Project Euclid: 23 December 2017

zbMATH: 1383.14003
MathSciNet: MR3754631
Digital Object Identifier: 10.1215/00127094-2017-0040

Subjects:
Primary: 11E72
Secondary: 20G25 , 20G39

Keywords: division algebras , Galois cohomology , linear algebraic groups , splitting fields , torsors , zero-cycles

Rights: Copyright © 2018 Duke University Press

Vol.167 • No. 2 • 1 February 2018
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