Totaro’s question for tori of low rank
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- by Reed Leon Gordon-Sarney PDF
- Trans. Amer. Math. Soc. 370 (2018), 3245-3264
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 $\leq 2$.References
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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
- © Copyright 2017 by the author
- Journal: Trans. Amer. Math. Soc. 370 (2018), 3245-3264
- MSC (2010): Primary 11E72; Secondary 20G15, 14G05
- DOI: https://doi.org/10.1090/tran/7052
- MathSciNet review: 3766848