Displaying similar documents to “Direct images in non-archimedean Arakelov theory”

Local Chern classes

Birger Iversen (1976)

Annales scientifiques de l'École Normale Supérieure


Local and canonical heights of subvarieties

Walter Gubler (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze


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...