English

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

Number Theory 2007-05-23 v1 Algebraic Geometry

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.

Cite

@article{arxiv.math/0209362,
  title  = {p-adic height pairings on abelian varieties with semistable ordinary reduction},
  author = {Adrian Iovita and Annette Werner},
  journal= {arXiv preprint arXiv:math/0209362},
  year   = {2007}
}

Comments

26 pages

R2 v1 2026-07-22T16:47:57.343Z