On a duality theorem for abelian varieties over higher dimensional local fields.

DOI10.2996/kmj/1138044218zbMath1101.14307OpenAlexW2050190431MaRDI QIDQ1591522

Yoshihiro Koya

Publication date: 12 March 2001

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044218

zbMATH Keywords

higher dimensional local fieldsduality theorem of Galois cohomology groups related to abelian varietieshigher Tate dualityWeil-Barsotti formula

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15) Class field theory; (p)-adic formal groups (11S31)

Related Items (1)

Abelian varieties for function fields of curves over local fields

Cites Work

• A generalization of class formation by using hypercohomology
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