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Deligne pairing and Néron-Tate heights. (Accouplement de Deligne et hauteurs de Néron-Tate.) (French) Zbl 1039.14007

Summary: We prove that the only intersection theory on arithmetic surfaces which extend the (local) Néron-Tate pairing on zero degree divisors is the “original” Arakelov theory, namely, the one obtained using admissible metrics at infinity.

MSC:

14G40 Arithmetic varieties and schemes; Arakelov theory; heights
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