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

Comments: The discussion for Ben Antieau’s talk is taking place not in zoom-chat, but at tinyurl.com/2021-01-15-ba (and will be deleted after ~3-7 days).


Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880

If you have registered once, you are always registered, and can just join the talk. Link for talk once registered: in your email, or else probably: stanford.zoom.us/j/95272114542

More seminar information (including slides and videos, when available): agstanford.com

Organizer: Ravi Vakil*
*contact for this listing

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