Tamagawa numbers of diagonal cubic surfaces, numerical evidence

Peyre, Emmanuel; Tschinkel, Yuri

doi:10.1090/S0025-5718-00-01189-3

Tamagawa numbers of diagonal cubic surfaces, numerical evidence
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by Emmanuel Peyre and Yuri Tschinkel PDF

Math. Comp. 70 (2001), 367-387 Request permission

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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