Counting rational points on algebraic varieties

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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Hauptverfasser: Browning, T. D, Heath-Brown, D. R, Salberger, P
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Sprache:eng
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Mathematics - Algebraic Geometry
Mathematics - Number Theory
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creator Browning, T. D
Heath-Brown, D. R
Salberger, P
description 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_str_mv 10.48550/arxiv.math/0410117
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subjects Mathematics - Algebraic Geometry
Mathematics - Number Theory
title Counting rational points on algebraic varieties
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