5 papers
Singular fiber of the Mumford system and rational solutions to the KdV hierarchy
Rei Inoue, Pol Vanhaecke, Takao Yamazaki
We study the singular iso-level manifold of the genus Mumford system associated to the spectral curve . We show that is stratified by open…
Milnor -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 -group attached to a torus and the value of the Artin -function a…
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 -adic field with split semi-stable reduction is divisible. We also consider the of a pro…
Jacobian variety and Integrable system -- after Mumford, Beauville and Vanhaecke
Rei Inoue, Yukiko Konishi, Takao Yamazaki
Beauville introduced an integrable Hamiltonian system whose general level set is isomorphic to the complement of the theta divisor in the Jacobian of the spectral curve. This can b…
Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system
Rei Inoue, Takao Yamazaki
The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov on the Mumford system to its variants. The other is to est…