Abstract:
In this article it is explained how to construct for a nonsingular model of a curve defined over a number field a theory analogous to the theory of divisors, and the intersection numbers of divisors, on a compact algebraic surface.
\Bibitem{Ara74}
\by S.~Yu.~Arakelov
\paper Intersection theory of divisors on an arithmetic surface
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 6
\pages 1167--1180
\mathnet{http://mi.mathnet.ru/eng/im2004}
\crossref{https://doi.org/10.1070/IM1974v008n06ABEH002141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=472815}
\zmath{https://zbmath.org/?q=an:0355.14002}
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