Counting rational points on smooth cubic surfaces

Christopher Frei; Efthymios Sofos

doi:10.4310/MRL.2016.v23.n1.a7

Counting rational points on smooth cubic surfaces

Christopher Frei, Efthymios Sofos

Institute of Analysis and Number Theory (5010)

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

Abstract

We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin’s conjecture possibly after an extension of small degree

Original language	English
Pages (from-to)	127-143
Journal	Mathematical Research Letters
Volume	23
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2016.v23.n1.a7
Publication status	Published - 2016

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Information, Communication & Computing

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10.4310/MRL.2016.v23.n1.a7

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title = "Counting rational points on smooth cubic surfaces",

abstract = "We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin{\textquoteright}s conjecture possibly after an extension of small degree",

author = "Christopher Frei and Efthymios Sofos",

year = "2016",

doi = "10.4310/MRL.2016.v23.n1.a7",

language = "English",

volume = "23",

pages = "127--143",

journal = "Mathematical Research Letters",

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publisher = "International Press of Boston, Inc.",

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T1 - Counting rational points on smooth cubic surfaces

AU - Frei, Christopher

AU - Sofos, Efthymios

PY - 2016

Y1 - 2016

N2 - We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin’s conjecture possibly after an extension of small degree

AB - We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin’s conjecture possibly after an extension of small degree

UR - http://arxiv.org/abs/1409.6224

U2 - 10.4310/MRL.2016.v23.n1.a7

DO - 10.4310/MRL.2016.v23.n1.a7

M3 - Article

VL - 23

SP - 127

EP - 143

JO - Mathematical Research Letters

JF - Mathematical Research Letters

SN - 1073-2780

IS - 1

ER -

Counting rational points on smooth cubic surfaces

Abstract

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