• Media type: E-Article
  • Title: Manin's conjecture for a cubic surface with 2A2 + A1 singularity type
  • Contributor: LE BOUDEC, PIERRE
  • Published: Cambridge University Press (CUP), 2012
  • Published in: Mathematical Proceedings of the Cambridge Philosophical Society, 153 (2012) 3, Seite 419-455
  • Language: English
  • DOI: 10.1017/s030500411200031x
  • ISSN: 0305-0041; 1469-8064
  • Keywords: General Mathematics
  • Origination:
  • University thesis:
  • Footnote:
  • Description: <jats:title>Abstract</jats:title><jats:p>We establish Manin's conjecture for a cubic surface split over ℚ and whose singularity type is 2<jats:bold>A</jats:bold><jats:sub>2</jats:sub> + <jats:bold>A</jats:bold><jats:sub>1</jats:sub>. 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.</jats:p>