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Seminario di Geometria Algebrica: The p-adic height pairing on abelian varieties at non-ordinary primes.

Friday, May 31, 2013 h. 14:00 - Room SRVII - Shinichi Kobayashi

ARGOMENTI: Seminari

Seminario di Geometria Algebrica

Friday, May 31, 2013 h. 14:00 - Room SRVII
Shinichi Kobayashi (Tohoku)
"The p-adic height pairing on abelian varieties at non-ordinary primes"

Abstact
In 80's, P. Schneider constructed the p-adic height pairing on abelian varieties at ordinary primes by using the universal norm group. In this talk, I explain a generalization of Schneider's construction to the non-ordinary case by using certain norm systems, and explain an application for the p-adic Gross-Zagier formula.

Rif. Int. A. Bertapelle