The asymptotics of points of bounded height on diagonal cubic and quartic threefolds

2006 | conference paper. A publication with affiliation to the University of Göttingen.

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​The asymptotics of points of bounded height on diagonal cubic and quartic threefolds​
Elsenhans, A.-S. & Jahnel, J.​ (2006)
In:Hess, Florian​ (Ed.), pp. 317​-332. ​7th International Symposium on Algorithmic Number Theory​, Berlin.
Berlin, Heidelberg​: Springer. DOI: https://doi.org/10.1007/11792086_23 

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Authors
Elsenhans, Andreas-Stephan; Jahnel, Joerg
Editors
Hess, Florian
Abstract
For the families ax(3) = by(3) + z(3) + v(3) + w(3), a, b = 1,..., 100, and ax(4) = by(4) + z(4) + v(4) + w(4), a, b = 1,..., 100, of projective algebraic threefolds, we test numerically the conjecture of Manin (in the refined form due to Peyre) about the asymptotics of points of bounded height on Fano varieties.
Issue Date
2006
Publisher
Springer
Conference
7th International Symposium on Algorithmic Number Theory
Series
Lecture Notes in Computer Science 
ISBN
3-540-36075-1
Conference Place
Berlin
Event start
2006-07-23
Event end
2006-07-28
ISSN
0302-9743
Language
English

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