Manin’s conjecture for a singular sextic del Pezzo surface

Daniel Loughran[1]

  • [1] Department of Mathematics University Walk Bristol UK, BS8 1TW

Journal de Théorie des Nombres de Bordeaux (2010)

  • Volume: 22, Issue: 3, page 675-701
  • ISSN: 1246-7405

Abstract

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We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type A 2 . Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.

How to cite

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Loughran, Daniel. "Manin’s conjecture for a singular sextic del Pezzo surface." Journal de Théorie des Nombres de Bordeaux 22.3 (2010): 675-701. <http://eudml.org/doc/116427>.

@article{Loughran2010,
abstract = {We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type $\mathbf\{A\}_2$. Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.},
affiliation = {Department of Mathematics University Walk Bristol UK, BS8 1TW},
author = {Loughran, Daniel},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {del Pezzo surface; rational points; height zeta function},
language = {eng},
number = {3},
pages = {675-701},
publisher = {Université Bordeaux 1},
title = {Manin’s conjecture for a singular sextic del Pezzo surface},
url = {http://eudml.org/doc/116427},
volume = {22},
year = {2010},
}

TY - JOUR
AU - Loughran, Daniel
TI - Manin’s conjecture for a singular sextic del Pezzo surface
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2010
PB - Université Bordeaux 1
VL - 22
IS - 3
SP - 675
EP - 701
AB - We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type $\mathbf{A}_2$. Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.
LA - eng
KW - del Pezzo surface; rational points; height zeta function
UR - http://eudml.org/doc/116427
ER -

References

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