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arXiv · 1702.00516

Totaro's Question on Zero-Cycles on Torsors

Reed Gordon-Sarney·Venapally Suresh
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Abstract

Let $G$ be a smooth connected linear algebraic group and $X$ be a $G$-torsor. Totaro asked: if $X$ admits a zero-cycle of degree $d \geq 1$, then does $X$ have a closed \'etale point of degree dividing $d$? While the literature contains affirmative answers in some special cases, we give an example to show that the answer is negative in general.

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Reed Gordon-Sarney, Venapally Suresh. 2017-02-02. Totaro's Question on Zero-Cycles on Torsors. https://doi.org/10.1215/00127094-2017-0040

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