Counting rational points on algebraic varieties

Details Counting rational points on algebraic varieties Counting rational points on algebraic varieties

2004-10-05

arxiv.org/abs/math/0410117v4

Mathematics

Number Theory

29 pages

Scientific paper

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.

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