A family of varieties with exactly one pointless rational fiber
classification
🧮 math.NT
math.AG
keywords
rationalexactlyfamilyfibervarietiesconcreteconstructconstruction
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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 rational fiber with no rational points. This makes explicit a construction of Poonen.
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