Höhentheorie (mit einem Appendix von Jürg Kramer: Eine alternative Begründung der Néron-Tate Höhe).
Local and canonical heights of subvarieties
Classical results of Weil, Néron and Tate are generalized to local heights of subvarieties with respect to hermitian pseudo-divisors. The local heights are well-defined if the intersection of supports is empty. In the archimedean case, the metrics are hermitian and the local heights are defined by a refined version of the -product of Gillet-Soulé developped on compact varieties without assuming regularity. In the non-archimedean case, the local heights are intersection numbers using methods from...
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