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

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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

Originalsprache	englisch
Seiten (von - bis)	127-143
Fachzeitschrift	Mathematical Research Letters
Jahrgang	23
Ausgabenummer	1
DOIs	https://doi.org/10.4310/MRL.2016.v23.n1.a7
Publikationsstatus	Veröffentlicht - 2016

Fields of Expertise

Information, Communication & Computing

Zugriff auf Dokument

10.4310/MRL.2016.v23.n1.a7

Andere Dateien und Links

http://arxiv.org/abs/1409.6224

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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",

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journal = "Mathematical Research Letters",

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AU - Frei, Christopher

AU - Sofos, Efthymios

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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

SN - 1945-001X

VL - 23

SP - 127

EP - 143

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 1

ER -

Counting rational points on smooth cubic surfaces

Abstract

Fields of Expertise

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

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