Takao Yamazaki

activity

20052008

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2008

Milnor $K$ -group attached to a torus and Birch-Tate conjecture

Takao Yamazaki

We formulate (and prove under a certain assumption) a conjecture relating the order of Somekawa's Milnor $K$ -group attached to a torus $T$ and the value of the Artin $L$ -function a…

math.NT2006

Class field theory for a product of curves over a local field

Takao Yamazaki

We prove that the the kernel of the reciprocity map for a product of curves over a $p$ -adic field with split semi-stable reduction is divisible. We also consider the $K_{1}$ of a pro…

Milnor K-group attached to a torus and Birch-Tate conjecture

Class field theory for a product of curves over a local field

Milnor $K$ -group attached to a torus and Birch-Tate conjecture