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fixed broken links to Numdam and Wikipedia; replaced broken link to hodge.mathematik.uni-mainz.de with WebArchive snapshot
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edit approved Mar 30 at 9:43
The Amplitwist
edit approved Mar 30 at 9:43
The Amplitwist
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Beilinson's height pairing vs Neron-Tate. Néron–Tate

In the literature there are several different definitions of what is often referred to as Beilinson's height pairing (see for example section 4.3.8 of Gillet and Soulé's paper Arithmetic intersection theoryArithmetic intersection theory, and this note of Müller-Stach). The height pairing is supposed to generalize the Neron-Tate height pairingNeron-Tate height pairing. Is there a precise statement in the literature where Beilinson's height pairing for an elliptic curve over $\mathbb{Q}$ is compared to the Neron-TateNéron–Tate pairing?

Beilinson's height pairing vs Neron-Tate

In the literature there are several different definitions of what is often referred to as Beilinson's height pairing (see for example section 4.3.8 of Gillet and Soulé's paper Arithmetic intersection theory, and this note of Müller-Stach). The height pairing is supposed to generalize the Neron-Tate height pairing. Is there a precise statement in the literature where Beilinson's height pairing for an elliptic curve over $\mathbb{Q}$ is compared to the Neron-Tate pairing?

Beilinson's height pairing vs. Néron–Tate

In the literature there are several different definitions of what is often referred to as Beilinson's height pairing (see for example section 4.3.8 of Gillet and Soulé's paper Arithmetic intersection theory, and this note of Müller-Stach). The height pairing is supposed to generalize the Neron-Tate height pairing. Is there a precise statement in the literature where Beilinson's height pairing for an elliptic curve over $\mathbb{Q}$ is compared to the Néron–Tate pairing?

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Andreas Holmstrom
Andreas Holmstrom
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Beilinson's height pairing vs Neron-Tate

In the literature there are several different definitions of what is often referred to as Beilinson's height pairing (see for example section 4.3.8 of Gillet and Soulé's paper Arithmetic intersection theory, and this note of Müller-Stach). The height pairing is supposed to generalize the Neron-Tate height pairing. Is there a precise statement in the literature where Beilinson's height pairing for an elliptic curve over $\mathbb{Q}$ is compared to the Neron-Tate pairing?