Displaying similar documents to “Arithmetic intersection theory”

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...

Relative Chow correspondences and the Griffiths group

Eric M. Friedlander (2000)

Annales de l'institut Fourier


A relativization of earlier constructions and Nori’s rational Lefschetz theorem enable interesting examples of the “topological filtration” on algebraic cycles.