9 citations · 41 across the 10 of their papers we have counts for
12 papers
Evaluating the wild Brauer group
Martin Bright, Rachel Newton
Classifying elements of the Brauer group of a variety X over a p-adic field according to the p-adic accuracy needed to evaluate them gives a filtration on Br X. We relate this filt…
Brauer-Manin obstruction for Erdős-Straus surfaces
Martin Bright, Daniel Loughran
We study the failure of the integral Hasse principle and strong approximation for the Erdős-Straus conjecture using the Brauer-Manin obstruction.
Finiteness theorems for K3 surfaces over arbitrary fields
Martin Bright, Adam Logan, Ronald van Luijk
Over an algebraically closed field, various finiteness results are known regarding the automorphism group of a K3 surface and the action of the automorphisms on the Picard lattice.…
Rational points in families of varieties
Martin Bright
Notes from lectures given at the Autumn School on Algebraic and Arithmetic Geometry at the Johannes Gutenberg-Universität Mainz in October 2017.
Failure of strong approximation on an affine cone
Martin Bright, Ivo Kok
We use the Brauer-Manin obstruction to strong approximation on a punctured affine cone to explain a curious property of coprime integer solutions to a homogeneous Diophantine equat…
A uniform bound on the Brauer groups of certain log K3 surfaces
Martin Bright, Julian Lyczak
Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the…