Totaro’s question for tori of low rank
Author:
Reed Leon Gordon-Sarney
Journal:
Trans. Amer. Math. Soc. 370 (2018), 3245-3264
MSC (2010):
Primary 11E72; Secondary 20G15, 14G05
DOI:
https://doi.org/10.1090/tran/7052
Published electronically:
November 17, 2017
MathSciNet review:
3766848
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Abstract | References | Similar Articles | Additional Information
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 $d \geq 1$, then does $X$ have a closed étale point of degree dividing $d$? This question is entirely unexplored in the literature for algebraic tori. We settle Totaro’s question affirmatively for algebraic tori of rank $\leq 2$.
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Additional Information
Reed Leon Gordon-Sarney
Affiliation:
Department of Mathematics & Computer Science, Emory University, Atlanta, Georgia 30322
Received by editor(s):
April 12, 2016
Received by editor(s) in revised form:
July 25, 2016
Published electronically:
November 17, 2017
Article copyright:
© Copyright 2017
by the author
