On Manin's conjecture for singular del Pezzo surfaces of degree four, II

R de la Bretèche; TD Browning

doi:10.1017/S0305004107000205

On Manin's conjecture for singular del Pezzo surfaces of degree four, II

R de la Bretèche
, TD Browning

Research output: Contribution to journal › Article (Academic Journal) › peer-review

13 Citations (Scopus)

Abstract

This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four, via an analysis of the corresponding height zeta function. An interesting feature of the proof is that it does not use the universal torsor above the minimal desingularisation of the surface.

Translated title of the contribution	On Manin's conjecture for singular del Pezzo surfaces of degree four, II
Original language	English
Pages (from-to)	579 - 605
Number of pages	27
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	143 (3)
DOIs	https://doi.org/10.1017/S0305004107000205
Publication status	Published - Nov 2007

Bibliographical note

Publisher: Cambridge University Press
Other: arXiv:math/0502510

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title = "On Manin's conjecture for singular del Pezzo surfaces of degree four, II",

abstract = "This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four, via an analysis of the corresponding height zeta function. An interesting feature of the proof is that it does not use the universal torsor above the minimal desingularisation of the surface.",

author = "\{de la Bret{\`e}che\}, R and TD Browning",

note = "Publisher: Cambridge University Press Other: arXiv:math/0502510",

year = "2007",

month = nov,

doi = "10.1017/S0305004107000205",

language = "English",

volume = "143 (3)",

pages = "579 -- 605",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

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T1 - On Manin's conjecture for singular del Pezzo surfaces of degree four, II

AU - de la Bretèche, R

AU - Browning, TD

N1 - Publisher: Cambridge University Press Other: arXiv:math/0502510

PY - 2007/11

Y1 - 2007/11

N2 - This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four, via an analysis of the corresponding height zeta function. An interesting feature of the proof is that it does not use the universal torsor above the minimal desingularisation of the surface.

AB - This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four, via an analysis of the corresponding height zeta function. An interesting feature of the proof is that it does not use the universal torsor above the minimal desingularisation of the surface.

U2 - 10.1017/S0305004107000205

DO - 10.1017/S0305004107000205

M3 - Article (Academic Journal)

SN - 1469-8064

VL - 143 (3)

SP - 579

EP - 605

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

ER -

On Manin's conjecture for singular del Pezzo surfaces of degree four, II

Abstract

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