Torsion algebraic cycles and a theorem of Roitman
S. Bloch (1979)
Compositio Mathematica
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Displaying similar documents to “Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem”
Torsion algebraic cycles and a theorem of Roitman
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-adic etale cohomology
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We investigate Grothendieck’s pairing on component groups of abelian varieties from the viewpoint of rigid uniformization theory. Under the assumption that the pairing is perfect, we show that the filtrations, as introduced by Lorenzini and in a more general way by Bosch and Xarles, are dual to each other. Furthermore, the methods yield some progress on the perfectness of the pairing itself, in particular, for abelian varieties with potentially multiplicative reduction.
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