Genus 1 curves in twisted projective spaces

Ben Antieau (Northwestern)

Fri Jan 15, 20:00-21:00 (6 weeks ago)

Abstract: Does every Severi—Brauer variety contain a (possibly singular) genus 1 curve? This basic question was asked by David Saltman and Pete Clark and answered in low dimensions by Johan de Jong and Wei Ho. I will explain something of the history of the problem as well as recent joint work with Asher Auel where we show, with the help of a nice observation of David Saltman, that the answer is `yes’ for twisted forms of $\mathbb{P}^r$ for $r=6$ over global fields.

algebraic geometry

Audience: researchers in the topic

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Stanford algebraic geometry seminar

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Organizer: Ravi Vakil*
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