A variety over a non-closed field is said to be geometrically rational if it becomes birationally equivalent to projective space after base changing to an algebraic closure. If a variety is geometrically rational, one can ask whether it is also rational over the original ground field. We study the rationality question for geometrically rational conic bundle threefolds, by considering various obstructions to rationality. This work is joint with Sarah Frei, Soumya Sankar, Bianca Viray, and Isabel Vogt.
Rationality of conic bundle threefolds over non-closed fields
Lena Ji, University of MichiganAuthors: Lena Ji, Sarah Frei, Soumya Sankar, Bianca Viray, and Isabel Vogt
2022 AWM Research Symposium
WiAG: Women in Algebraic Geometry