Manin%26apos;s conjecture for a cubic surface with 2A(2) + A(1) singularity type

作者:Le Boudec Pierre*
来源:Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 153: 419-455.
DOI:10.1017/S030500411200031X

摘要

We establish Manin%26apos;s conjecture for a cubic surface split over Q and whose singularity type is 2A(2) + A(1). 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.

  • 出版日期2012-11