title: Integrality of Tate-cycles.
abstract: We explain a technical result about p-adic cohomology and apply it to the study of Shimura varieties. The technical result applies to algebraic varieties with torsion-free cohomology, but for simplicity we only treat abelian varieties.
authors.affiliation: Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, 53225 Bonn, Germany.
authors.forename: G
authors.initials: G
authors.lastname: Faltings