Manin%26apos;s conjecture for a singular quartic del Pezzo surface

作者:Loughran Daniel*
来源:Journal of the London Mathematical Society-Second Series, 2012, 86: 558-584.
DOI:10.1112/jlms/jds017

摘要

We prove Manin%26apos;s conjecture for a split singular quartic del Pezzo surface with singularity type 2A(1) and eight lines. This is achieved by equipping the surface with a conic bundle structure. To handle the sum over the family of conics, we prove a result of independent interest on a certain restricted divisor problem for four binary linear forms.

  • 出版日期2012-10