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

Adrian Iovita·Annette Werner
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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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Adrian Iovita, Annette Werner. 2002-09-26. p-adic height pairings on abelian varieties with semistable ordinary reduction. https://arxiv.org/abs/math/0209362

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