Isogeny invariance of the BSD conjecture
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چکیده
• Ω = ∫ E(R) |ω|, and ω is the global section of Ω 1 N(E)/Z corresponding to a choice of basis of the Z-line Cot0(N(E)) for the Néron model N(E) of E over Z, • cp is the number of connected components of N(E)Fp that are geometrically connected over Fp, or equivalently (by Lang’s theorem applied to N(E)0Fptorsors) have a rational point, so cp coincides with the number of Fp-points of the finite étale component group N(E)Fp/N(E)0Fp . • RE is a regulator term that equals 1 when E(Q) is finite.
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تاریخ انتشار 2015