Translation by torsion points and rational equivalence of 0-cycles on Abelian varieties (Q1115927)

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scientific article; zbMATH DE number 4087817
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Translation by torsion points and rational equivalence of 0-cycles on Abelian varieties
scientific article; zbMATH DE number 4087817

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    Translation by torsion points and rational equivalence of 0-cycles on Abelian varieties (English)
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    1988
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    Let A be an abelian variety and c be a point of finite order. It is proved that the cycle \(c^*(a)\) is rationally equivalent to a for any algebraic cycle a on A which is algebraically \(equivalent\quad to\quad 0.\) Here \(c^*\) is a translation on the \(point\quad a\). There are applications to a description of the set of effective cycles equivalent to a given one.
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    rational equivalence
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    abelian variety
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    algebraic cycle
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