Manin's conjecture for a singular quartic del Pezzo surface

Daniel Loughran

doi:10.1112/jlms/jds017

Manin's conjecture for a singular quartic del Pezzo surface

Daniel Loughran^*

^*Corresponding author for this work

Universite Paris Diderot

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Abstract

We prove Manin's conjecture for a split singular quartic del Pezzo surface with singularity type 2A1 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. 2012 London Mathematical Society2012

Original language	English
Pages (from-to)	558-584
Number of pages	27
Journal	Journal of the London Mathematical Society
Volume	86
Issue number	2
DOIs	https://doi.org/10.1112/jlms/jds017
Publication status	Published - Oct 2012

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Loughran DP4 paperAccepted author manuscript, 432 KB

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Manin's conjecture for a singular quartic del Pezzo surface

Abstract

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