3 papers
math.AC2009
Flat modules and Gröbner bases over truncated discrete valuation rings
Toshiro Hiranouchi, Yuichiro Taguchi
We present basic properties of Gröbner bases of submodules of a free module of finite rank over a polynomial ring with coefficients in a graded truncated discrete valuations ri…
math.KT2008
Deforming motivic theories I: Pure weight perfect Modules on divisorial schemes
Toshiro Hiranouchi, Satoshi Mochizuki
In this paper, we introduce a notion of weight r pseudo-coherent Modules associated to a regular closed immersion i:Y -> X of codimension r, and prove that there is a canonical der…
math.NT2008
Class field theory for curves over -adic fields
Toshiro Hiranouchi
We develop class field theory of curves over -adic fields which extends the unramified theory of S. Saito. The class groups which approximate abelian étale fundamental groups of…