arXiv Analytics

Sign in

arXiv:math/0509370 [math.NT]AbstractReferencesReviewsResources

On Manin's conjecture for a certain singular cubic surface

R. de la Breteche, T. D. Browning, U. Derenthal

Published 2005-09-16, updated 2007-02-06Version 3

Let U denote the open subset formed by deleting the unique line from the singular cubic surface x_1x_2^2+x_2x_0^2+x_3^3=0. In this paper an asymptotic formula is obtained for the number of rational points on U of bounded height, which thereby verifies the Manin conjecture for this particular surface.

Comments: 48 pages
Categories: math.NT, math.AG
Subjects: 11G35, 14G05, 14G10
Related articles: Most relevant | Search more
arXiv:math/0412086 [math.NT] (Published 2004-12-04, updated 2006-01-04)
On Manin's conjecture for singular del Pezzo surfaces of degree four, I
arXiv:0808.1616 [math.NT] (Published 2008-08-12, updated 2011-01-22)
Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
arXiv:1310.2715 [math.NT] (Published 2013-10-10)
On the asymptotic formula of L'(1, χ)

Links

Toolbox