18 citations · 32 across the 13 of their papers we have counts for
13 papers
Indicial polynomials and -functions of -modules along arbitrary varieties and their computation
Toshinori Oaku
We define an indicial polynomial of a -module along an arbitrary subvariety as a generalization of both the classical indicial polynomial for a single linear differential equati…
Bernstein-Sato polynomials and analytic non-equivalence of plane curve singularities
Toshinori Oaku
We compute Bernstein-Sato polynomials of some pairs of topologically equivalent plane curve singularities. Some pairs have the same Tjurina number but distinct Bernstein-Sato polyn…
Localization, local cohomology, and the b-function of a D-module with respect to a polynomial
Toshinori Oaku
Given a -module generated by a single element, and a polynomial , one can construct several -modules attached to and and can define the notion of the (generali…
Operational calculus for holonomic distributions in the framework of D-module theory
Toshinori Oaku
Let be a real polynomial of and be a locally integrable function of which satisfies a holonomic system of linear differential equations. We study…
Length and multiplicity of the local cohomology with support in a hyperplane arrangement
Toshinori Oaku
Let be the polynomial ring in variables with coefficients in a field of characteristic zero. Let be the -th Weyl algebra over . Suppose that defin…
Annihilators of Laurent coefficients of the complex power for normal crossing singularity
Toshinori Oaku
Let be a real-valued real analytic function defined on an open set of . Then the complex power is defined as a distribution with a holomorphic parameter $…