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- Title
Manin's conjecture for a cubic surface with 2A2 + A1 singularity type.
- Authors
LE BOUDEC, PIERRE
- Abstract
We establish Manin's conjecture for a cubic surface split over ℚ and whose singularity type is 2A2 + A1. For this, we make use of a deep result about the equidistribution of the values of a certain restricted divisor function in three variables in arithmetic progressions. This result is due to Friedlander and Iwaniec (and was later improved by Heath–Brown) and draws on the work of Deligne.
- Subjects
CUBIC surfaces; DIVISOR theory; MATHEMATICAL variables; ARITHMETIC series; DISTRIBUTION (Probability theory)
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2012, Vol 153, Issue 3, p419
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S030500411200031X