Rational Points on Quartics

Mathematics – Algebraic Geometry

Scientific paper

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32 pages; LaTeX

Scientific paper

Let $S \subset \P^n$ be a smooth quartic hypersurface defined over a number
field $K$. If $n \ge 4$, then for some finite extension $K'$ of $K$ the set
$S(K')$ of $K'$-rational points of $S$ is Zariski dense.

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