Highly Influential

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@inproceedings{Browning200422A, title={2 2 A pr 2 00 5 Counting Rational Points on Algebraic Varieties}, author={Tim D. Browning and D. R. Heath-Brown and Per Salberger}, year={2004} }

- Published 2004

For any N ≥ 2, let Z ⊂ P be a geometrically integral algebraic variety of degree d. This paper is concerned with the number NZ(B) of Q-rational points on Z which have height at most B. For any ε > 0 we establish the estimate NZ(B) = Od,ε,N (B ), provided that d ≥ 6. As indicated, the implied constant depends at most upon d, ε and N . Mathematics Subject Classification (2000): 11G35 (14G05)