Derives asymptotic count of semi-integral points on singular cubic hypersurfaces X_k and shows agreement with Manin's conjecture on a-invariant and b-invariant.
de la Bretèche, Sur le nombre de points de hauteur bornée d’une certaine surface cubique singulière , Astérisque 251 (1998), 51–77 (French, with French summary)
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The distribution of semi-integral points on a class of singular cubic hypersurfaces
Derives asymptotic count of semi-integral points on singular cubic hypersurfaces X_k and shows agreement with Manin's conjecture on a-invariant and b-invariant.