Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
J. S. Milne (1982)
Compositio Mathematica
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Displaying similar documents to “Arithmetic intersection theory”
Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
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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...
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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.
Motivic splitting lemma.
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