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Tamagawa numbers of diagonal cubic surfaces, numerical evidence

Author(s): Emmanuel Peyre; Yuri Tschinkel.
Journal: Math. Comp. 70 (2001), 367-387.
MSC (2000): Primary 11D25, 14G40; Secondary 14G05, 14J25
Posted: June 12, 2000
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Abstract:

A refined version of Manin's conjecture about the asymptotics of points of bounded height on Fano varieties has been developed by Batyrev and the authors. We test numerically this refined conjecture for some diagonal cubic surfaces.

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Additional Information:

Emmanuel Peyre
Affiliation: Institut de Recherche Mathématique Avancée, Université Louis Pasteur et C.N.R.S., 7 rue René-Descartes, 67084 Strasbourg, France
Email: peyre@irma.u-strasbg.fr

Yuri Tschinkel
Affiliation: Department of Mathematics, University of Illinois in Chicago, 851 South Morgan Street, Chicago IL 60607-7045, USA
Email: yuri@math.uic.edu

DOI: 10.1090/S0025-5718-00-01189-3
PII: S 0025-5718(00)01189-3
Received by editor(s): June 22, 1998 and in revised form, January 4, 1999
Posted: June 12, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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