Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

R de la Bretèche; Tim D Browning

doi:10.1215/00127094-1443466

Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

R de la Bretèche, Tim D Browning

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

20 Citations (Scopus)

Abstract

An asymptotic formula is established for the number of Q-rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure.

Original language	English
Pages (from-to)	1-69
Number of pages	69
Journal	Duke Mathematical Journal
Volume	160
Issue number	1
DOIs	https://doi.org/10.1215/00127094-1443466
Publication status	Published - 1 Oct 2011

Access to Document

10.1215/00127094-1443466

http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.dmj/1317149891

Handle.net

Persistent link

DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY
Browning, T. D.
1/09/07 → 1/04/13
Project: Research

Cite this

@article{7e235961099b45418dc279737f0fe442,

title = "Manin's conjecture for quartic del Pezzo surfaces with a conic fibration",

abstract = "An asymptotic formula is established for the number of Q-rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure. ",

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

year = "2011",

month = oct,

day = "1",

doi = "10.1215/00127094-1443466",

language = "English",

volume = "160",

pages = "1--69",

journal = "Duke Mathematical Journal",

issn = "0012-7094",

publisher = "Duke University Press",

number = "1",

}

TY - JOUR

T1 - Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

AU - de la Bretèche, R

AU - Browning, Tim D

PY - 2011/10/1

Y1 - 2011/10/1

N2 - An asymptotic formula is established for the number of Q-rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure.

AB - An asymptotic formula is established for the number of Q-rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure.

U2 - 10.1215/00127094-1443466

DO - 10.1215/00127094-1443466

M3 - Article (Academic Journal)

SN - 0012-7094

VL - 160

SP - 1

EP - 69

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 1

ER -

Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

Abstract

Access to Document

Handle.net

Fingerprint

Projects

DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY

Cite this