Manin’s conjecture for a singular sextic del Pezzo surface

Daniel Loughran

doi:10.5802/jtnb.739

Manin’s conjecture for a singular sextic del Pezzo surface

Daniel Loughran^*

^*Corresponding author for this work

University of Bristol

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

166 Downloads (Pure)

Abstract

We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type A₂. Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.

Original language	English
Pages (from-to)	675-701
Number of pages	27
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	22
Issue number	3
DOIs	https://doi.org/10.5802/jtnb.739
Publication status	Published - 2010

Access to Document

10.5802/jtnb.739

Loughran - Manin for a DP6 finalAccepted author manuscript, 380 KB

Cite this

@article{5c44fcf10461496da640bfbdc37b3d7e,

title = "Manin{\textquoteright}s conjecture for a singular sextic del Pezzo surface",

abstract = "We prove Manin{\textquoteright}s conjecture for a del Pezzo surface of degree six which has one singularity of type A2. Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.",

author = "Daniel Loughran",

year = "2010",

doi = "10.5802/jtnb.739",

language = "English",

volume = "22",

pages = "675--701",

journal = "Journal de Theorie des Nombres de Bordeaux",

issn = "1246-7405",

publisher = "Universit{\'e} de Bordeaux",

number = "3",

}

TY - JOUR

T1 - Manin’s conjecture for a singular sextic del Pezzo surface

AU - Loughran, Daniel

PY - 2010

Y1 - 2010

N2 - We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type A2. Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.

AB - We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type A2. Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.

UR - http://www.scopus.com/inward/record.url?scp=85009965900&partnerID=8YFLogxK

U2 - 10.5802/jtnb.739

DO - 10.5802/jtnb.739

M3 - Article

AN - SCOPUS:85009965900

SN - 1246-7405

VL - 22

SP - 675

EP - 701

JO - Journal de Theorie des Nombres de Bordeaux

JF - Journal de Theorie des Nombres de Bordeaux

IS - 3

ER -

Manin’s conjecture for a singular sextic del Pezzo surface

Abstract

Access to Document

Other files and links

Fingerprint

Cite this