The proportion of plane cubic curves over Q that everywhere locally have a point

Author(s): Bhargava, Manjul; Cremona, John E.; Fisher, Tom A.

Download

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1ps8n

Full metadata record

DC Field	Value	Language
dc.contributor.author	Bhargava, Manjul	-
dc.contributor.author	Cremona, John E.	-
dc.contributor.author	Fisher, Tom A.	-
dc.date.accessioned	2017-11-21T18:58:06Z	-
dc.date.available	2017-11-21T18:58:06Z	-
dc.date.issued	2016-06	en_US
dc.identifier.citation	Bhargava, Manjul, Cremona, John, Fisher, Tom. (2016). The proportion of plane cubic curves over Q that everywhere locally have a point. INTERNATIONAL JOURNAL OF NUMBER THEORY, 12 (1077 - 1092. doi:10.1142/S1793042116500664	en_US
dc.identifier.issn	1793-0421	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1ps8n	-
dc.description.abstract	We show that the proportion of plane cubic curves over Q p that have a Q p -rational point is a rational function in p , where the rational function is independent of p ,andwe determine this rational function explicitly. As a consequence, we obtain the density of plane cubic curves over Q that have points everywhere locally; numerically, this density is shown to be ≈ 97 . 3%.	en_US
dc.format.extent	1077 - 1092	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	INTERNATIONAL JOURNAL OF NUMBER THEORY	en_US
dc.rights	Author's manuscript	en_US
dc.title	The proportion of plane cubic curves over Q that everywhere locally have a point	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1142/S1793042116500664	-
dc.date.eissued	2015-10-05	en_US
dc.identifier.eissn	1793-7310	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

Files in This Item:

File	Description	Size	Format
1311.5578v1.pdf		117.22 kB	Adobe PDF	View/Download