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p-adic height pairings on abelian varieties with semistable ordinary reduction

Adrian Iovita, Annette Werner

math.NTarXiv:math/0209362

Abstract

We prove that for abelian varieties with semistable ordinary reduction the p-adic Mazur-Tate height pairing is induced by the unit root splitting of the Hodge filtration on the first deRham cohomology.

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