Mordell-Weil rank jumps and the Hilbert property
Cecília Salgado (Federal University of Rio de Janeiro (UFRJ))
Abstract: Let X be an elliptic surface with a section defined over a number field. Specialization theorems by Néron and Silverman imply that the rank of the Mordell-Weil group of special fibers is at least equal to the MW rank of the generic fiber. We say that the rank jumps when the former is strictly larger than the latter. In this talk, I will discuss rank jumps for elliptic surfaces fibred over the projective line. If the surface admits a conic bundle we show that the subset of the line for which the rank jumps is not thin in the sense of Serre. This is joint work with Dan Loughran (Bath).
algebraic geometry
Audience: researchers in the topic
Comments: Link for the google meet will be posted here a few days before the talk.
Brazilian algebraic geometry seminar
Series comments: Subscribe the seminar mailing list, please send and email to brag-seminar-request@lists.ime.unicamp.br with "subscribe" in the subject line.
Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w
| Organizers: | Marcos Jardim*, Ethan Cotterill*, Eduardo Esteves, Carolina Araujo, Maurício Corrêa* |
| *contact for this listing |