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

21 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

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10.1215/00127094-1443466

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

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

Cite this

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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. ",

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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.

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DO - 10.1215/00127094-1443466

M3 - Article (Academic Journal)

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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

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DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY

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