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

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

2002-09-26

arxiv.org/abs/math/0209362v1

Mathematics

Number Theory

26 pages

Scientific paper

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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