p-adic height pairings on abelian varieties with semistable ordinary reduction
classification
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math.AG
keywords
abelianheightordinaryp-adicreductionsemistablevarietiescohomology
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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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