On quadratic points on intersections of two quadrics

Abstract: Springer's theorem and the Amer-Brumer theorem together imply that intersections of two quadrics have a rational point if and only if they have a 0-cycle of degree 1. In this talk, we consider whether this statement can be strengthened in the case when there is no rational point, namely when 1) the least degree of a 0-cycle can be 2, and 2) when this occurs, whether there is an effective 0-cycle of degree 2. We report on results in this direction, paying particular attention to the case of local and global fields. This is joint work with Brendan Creutz.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar

Times vary to accommodate speakers time zones but times will be announced in GMT time.