2 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.NT2007
The non-existence of certain mod 2 Galois representations of some small quadratic fields
Hyunsuk Moon, Yuichiro Taguchi
For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois representations of degree 2 unramified outside 2.