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arXiv:math/0504016 [math.NT]AbstractReferencesReviewsResources

Manin's conjecture for a certain singular cubic surface

Ulrich Derenthal

Published 2005-04-01Version 1

We prove Manin's conjecture for a singular cubic surface S with a singularity of type E6. If U is the open subset of S obtained by deleting the unique line from S, then the number of rational points in U with anticanonical height bounded by B behaves asymptotically as cB(log B)^6, where the constant c agrees with the one conjectured by Peyre.

Comments: 18 pages
Categories: math.NT, math.AG
Subjects: 11G35, 14G05, 14J45
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