%0 Journal Article
%T Manin's conjecture for two quartic del Pezzo surfaces with 3A_1 and A_1+A_2 singularity types
%A Pierre Le Boudec
%J Mathematics
%D 2010
%I arXiv
%X We prove Manin's conjecture for two del Pezzo surfaces of degree four which are split over Q and whose singularity types are respectively 3A_1 and A_1+A_2. For this, we study a certain restricted divisor function and use a result about the equidistribution of its values in arithmetic progressions. In this task, Weil's bound for Kloosterman sums plays a key role.
%U http://arxiv.org/abs/1006.0691v3