Obstructions to the Hasse principle in thin families
Lead Research Organisation:
University of Bristol
Department Name: Mathematics
Abstract
Given a family of algebraic varieties over a number field, the goal of this project is to
understand the distribution of elements in the family which give rise to counterexamples
to the Hasse principle. One of the key goals is to find a family which gives
a positive proportion of counter-examples.
understand the distribution of elements in the family which give rise to counterexamples
to the Hasse principle. One of the key goals is to find a family which gives
a positive proportion of counter-examples.
Organisations
People |
ORCID iD |
| Tim Browning (Primary Supervisor) | |
| Nicholas Rome (Student) |
Publications
Rome N
(2019)
A positive proportion of Hasse principle failures in a family of Châtelet surfaces
in International Journal of Number Theory
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509619/1 | 01/10/2016 | 30/09/2021 | |||
| 1793900 | Studentship | EP/N509619/1 | 01/10/2016 | 31/03/2020 | Nicholas Rome |