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math.NT2002
p-adic height pairings on abelian varieties with semistable ordinary reduction
Adrian Iovita, Annette Werner
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 fir…
math.AG2002
Compactification of the Bruhat-Tits building of PGL by seminorms
Annette Werner
We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed wit…