Gasbarri, Carlo Deligne pairing and Néron-Tate heights. (Accouplement de Deligne et hauteurs de Néron-Tate.) (French) Zbl 1039.14007 C. R. Acad. Sci., Paris, Sér. I 323, No. 8, 845-848 (1996). 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. Cited in 1 Document MSC: 14G40 Arithmetic varieties and schemes; Arakelov theory; heights Keywords:intersection theory; arithmetic surfaces; Néron-Tate pairing; Arakelov theory PDFBibTeX XMLCite \textit{C. Gasbarri}, C. R. Acad. Sci., Paris, Sér. I 323, No. 8, 845--848 (1996; Zbl 1039.14007)