|Title: Totaro's Question for Tori of Low Rank|
|Speaker: Reed Sarney of Emory University|
|Contact: David Zureick-Brown, firstname.lastname@example.org|
|Date: 2016-04-19 at 4:00PM|
Let k be a field, let G/k be a smooth connected linear algebraic group, and let X be a G-torsor over k. Generalizing a question of Serre, Totaro asked if the existence of a zero-cycle on X of degree d greater than or equal to 1 implies the existence of closed etale point on X 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 less than or equal to 2.
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