On a constant arising in Manin's conjecture for Del Pezzo surfaces

Ulrich Derenthal

On a constant arising in Manin's conjecture for Del Pezzo surfaces

Ulrich Derenthal^*

^*Corresponding author for this work

University of Zurich (UZH)

Research output: Contribution to journal › Article › Research › peer review

Abstract

For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of α, appearing in the leading constant as predicted by Peyre of Manin's conjecture on the number of rational points of bounded height on the surface. Furthermore, we calculate α for all singular Del Pezzo surfaces of degree > 3.

Original language	English
Pages (from-to)	481-489
Number of pages	9
Journal	Mathematical research letters
Volume	14
Issue number	2-3
Publication status	Published - 1 Mar 2007
Externally published	Yes

Keywords

Del Pezzo surface
Effective cone
Manin's conjecture

ASJC Scopus subject areas

General Mathematics

Cite this

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AB - For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of α, appearing in the leading constant as predicted by Peyre of Manin's conjecture on the number of rational points of bounded height on the surface. Furthermore, we calculate α for all singular Del Pezzo surfaces of degree > 3.

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KW - Effective cone

KW - Manin's conjecture

UR - https://www.scopus.com/pages/publications/34547405665

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SN - 1073-2780

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JO - Mathematical research letters

JF - Mathematical research letters

IS - 2-3

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On a constant arising in Manin's conjecture for Del Pezzo surfaces

Abstract

Keywords

ASJC Scopus subject areas

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