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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Details
- 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