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.

Publications

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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 Hewitt Rome