A family of varieties with exactly one pointless rational fiber

Details A family of varieties with exactly one pointless rational fiber A family of varieties with exactly one pointless rational fiber

2009-08-31

arxiv.org/abs/0908.4440v2

Mathematics

Number Theory

4 pages. Some stylistic changes, replaced an argument in Lemma 3.1 with a simpler argument as suggested by the referee. To app

Scientific paper

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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