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Manin's conjecture for a cubic surface with 2A2 + A1 singularity type
Published online by Cambridge University Press: 14 August 2012
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 3 , November 2012 , pp. 419 - 455
- Copyright
- Copyright © Cambridge Philosophical Society 2012
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