Explicit uniform estimation of rational points I. Estimation of heights

Huayi Chen (1, 2)

1 IMJ - Institut de Mathématiques de Jussieu
2 IHES - Institut des Hautes Études Scientifiques

By using the slope method, we obtain an explicit uniform estimation for the density of rational points in an arithmetic projective variety with given degree and dimension, embedded in a given arithmetic projective space.

Mots clés: slope method; counting function; rational point; uniform estimation

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Huayi Chen. Explicit uniform estimation of rational points I. Estimation of heights. 2009. ⟨hal-00396374⟩