### Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem

J. S. Milne (1982)

Compositio Mathematica

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J. S. Milne (1982)

Compositio Mathematica

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Hiroshi Saito (1992)

Compositio Mathematica

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Walter Gubler (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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...

Eric M. Friedlander (2000)

Annales de l'institut Fourier

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

Vishik, A., Zainoulline, K. (2008)

Documenta Mathematica

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William Fulton (1975)

Publications Mathématiques de l'IHÉS

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A. Collino (1991)

Compositio Mathematica

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