Abstract
The purpose of this part is to give an introduction to intersection theory on arithmetic surfaces, a theory initiated by S.Yu Arakelov in [A1,2,3] and further developped by G. Faltings in [F]*). The idea, propagated during the last years in particular by L. Szpiro, is roughly to replace or better to enrich algebro-geometric structures at the infinite primes involved by hermitian structures as for example hermitian line bundles, curvatures, volumes etc.
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References
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© 1986 Springer Fachmedien Wiesbaden
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Stuhler, U. (1986). Intersection Theory on Arithmetic Surfaces. In: Rational Points. Aspects of Mathematics, vol 6. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-06812-9_7
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DOI: https://doi.org/10.1007/978-3-663-06812-9_7
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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