9 citations · 13 across the 9 of their papers we have counts for
9 papers
Logarithmic A-hypergeometric series II
Go Okuyama, Mutsumi Saito
In this paper, following [6], we continue to develop the perturbing method of constructing logarithmic series solutions to a regular A-hypergeometric system. Fixing a fake exponent…
Logarithmic A-hypergeometric series
Mutsumi Saito
The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point. In the classical case, wh…
Projective Linear Monoids and Hinges
Mutsumi Saito
Let V be a complex vector space. We propose a compactification PM(V) of the projective linear group PGL(V), which can act on the projective space P(V). After proving some propertie…
Limits of Jordan Lie subalgebras
Mutsumi Saito
Let g be a simple Lie algebra of rank n over C. We show that the n-dimensional abelian ideals of a Borel subalgebra of g are limits of Jordan Lie subalgebras. Combining this with a…
The Freeness and Minimal Free Resolutions of Modules of Differential Operators of a Generic Hyperplane Arrangement
Norihiro Nakashima, Go Okuyama, Mutsumi Saito
Let A be a generic hyperplane arrangement composed of r hyperplanes in an n-dimensional vector space, and S the polynomial ring in n variables. We consider the S-submodule D(m)(A)…
Noetherian properties of rings of differential operators of affine semigroup algebras
Mutsumi Saito, Ken Takahashi
We consider the Noetherian properties of the ring of differential operators of an affine semigroup algebra. First we show that it is always right Noetherian. Next we give a conditi…