The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds
نویسندگان
چکیده
For the families ax = by +z +v +w, a, b = 1, . . . , 100, and ax = by + z + v +w, 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.
منابع مشابه
Tamagawa numbers of diagonal cubic surfaces, numerical evidence
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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