most citedThe density of rational points in curves and surfaces

7 citations · 9 across the 3 of their papers we have counts for

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math.NT2004★ 7 cited

The density of rational points in curves and surfaces

D. R. Heath-Brown, J. -L. Colliot-Thélène

Let be an algebraic variety, defined over the rationals. This paper gives upper bounds for the number of rational points on , with height at most , for the case in which…

math.NT2003

Surfaces de del Pezzo sans point rationnel sur un corps de dimension cohomologique un

Jean-Louis Colliot-Thelene, David A. Madore

For each integer d=2,3,4, there exists a field F with cohomological dimension 1 and a del Pezzo surface of degree d over F having no rational point. Proofs use the theorem of Merku…