Rational Points on Quartics
classification
🧮 math.AG
math.NT
keywords
pointsrationaldefineddenseextensionfieldfinitehypersurface
read the original abstract
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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