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math.NT2009★ 1 cited
A family of varieties with exactly one pointless rational fiber
Bianca Viray
We construct a concrete example of a 1-parameter family of smooth projective geometrically integral varieties over an open subscheme of P^1_Q such that there is exactly one rationa…
math.NT2009★ 9 cited
Failure of the Hasse principle for Chatelet surfaces in characteristic 2
Bianca Viray
Given any global field k of characteristic 2, we construct a Chatelet surface over k which fails to satisfy the Hasse principle. This failure is due to a Brauer-Manin obstruction.…