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- Martin Bright
- 2008

Let X be a smooth, geometrically irreducible variety over a field k. Recall that the defining property of an Azumaya algebra A is that, for any field K containing k and any point P ∈ X(K), we can… (More)

- Martin Bright
- J. Symb. Comput.
- 2006

We describe explicit methods of exhibiting elements of the Brauer groups of diagonal quartic surfaces. Using these methods, we compute the algebraic Brauer–Manin obstruction in two contrasting… (More)

- Martin Bright
- 2005

The Brauer–Manin obstruction is a concept which has been very effective in finding counter-examples to the Hasse principle, that is, sets of polynomial equations which have solutions in every… (More)

- Julio Bohórquez, Sokratis Papaspyrou, +5 authors Alfonso Corzo
- Marine pollution bulletin
- 2013

The effect of macroalgal blooms on the abundance and community structure of intertidal sediment meiofauna was studied using an in situ enclosure experiments (Bay of Cádiz, Spain). Meiofaunal… (More)

- Martin Bright
- 2009

Let X be a cubic surface over a local number field k. Given an Azumaya algebra on X, we describe the local evaluation map X(k)→ Q/Z in two cases, showing a sharp dependence on the geometry of the… (More)

Let k be a number eld, X a smooth curve over k, and f a nonconstant element of the function eld k(X). If υ is a prime of k then denote the completion of k at υ by kυ and let Xυ := X × kυ . In this… (More)

- Martin Bright
- 2011

Let R be a Henselian discrete valuation ring with field of fractions K. If X is a smooth variety over K and G a torus over K, then we consider X-torsors under G. If X/R is a model of X then, using a… (More)

- Martin Bright, Daan Krammer Warwick
- 2011

8 Elementary operations and the rank of a matrix 25 8.1 Gauss transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 8.2 Elementary row operations . . . . . . . . . . . . . . . .… (More)

- Martin Bright
- J. London Math. Society
- 2015

We relate the Brauer group of a smooth variety over a p-adic field to the geometry of the special fibre of a regular model, using the purity theorem in étale cohomology. As an illustration, we… (More)

- Martin Bright
- 2008

Why should a number theorist be interested in algebraic geometry? In this course we hope to demonstrate one very good reason, by showing essentially geometric reasons why certain Diophantine… (More)