Counting rational points on algebraic varieties
Let $Z$ be a projective geometrically integral algebraic variety. This paper is concerned with estimating the number of rational points on $Z$ which have height at most $B$. The bounds obtained are uniform in varieties of fixed degree and fixed dimension, and are essentially best possible for variet...
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| Zusammenfassung: | Let $Z$ be a projective geometrically integral algebraic variety. This paper
is concerned with estimating the number of rational points on $Z$ which have
height at most $B$. The bounds obtained are uniform in varieties of fixed
degree and fixed dimension, and are essentially best possible for varieties of
degree at least six. |
|---|---|
| DOI: | 10.48550/arxiv.math/0410117 |