论文信息 - On a duality theorem of abelian varieties over higher dimensional local fields

On a duality theorem of abelian varieties over higher dimensional local fields

In this paper, we prove a duality theorem of abelian varieties over higher dimensional local fields under some conditions. It might be a one of generalization of the classical Tate duality theorem of abelian varieties over local fields.

Yoshihiro Koya

[1] Yoshihiro Koya. A generalization of class formation by using hypercohomology , 1990 .

[2] James S. Milne,et al. Arithmetic Duality Theorems , 1987 .

[3] Kazuya Kato. Galois cohomology of complete discrete valuation fields , 1982 .

[4] Kazuya Kato. A generalization of local class field theory by using $K$-groups, II , 1977 .

[5] Jean-Pierre Serre,et al. Groupes algébriques et corps de classes , 1975 .