Details:
Title  Stratification associated with local bfunctions  Author(s)  Kenta Nishiyama, Masayuki Noro  Type  Article in Journal  Abstract  The local b function b f , p ( s ) of an n variate polynomial f ∈ C [ x ] ( x = ( x 1 , … , x n ) ) at a point p ∈ C^n is constant on each stratum of a stratification of C n . We propose a new method for computing such a stratification and b f , p ( s ) on each stratum. In the existing method proposed in Oaku (1997b), a primary ideal decomposition of an ideal in C [ x , s ] is needed and our experiment shows that the primary decomposition can be a bottleneck for computing the stratification. In our new method, the computation can be done by just computing ideal quotients and examining inclusions of algebraic sets. The precise form of a stratum can be obtained by computing the decomposition of the radicals of the ideals in C [ x ] defining the stratum. We also introduce various techniques for improving the practical efficiency of the implementation and we show results of computations for some examples.  Keywords  b function, Stratification, Weyl algebra, Gröbner basis, Differential operator, D module  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717110000118 
Language  English  Journal  Journal of Symbolic Computation  Volume  45  Number  4  Pages  462  480  Year  2010  Edition  0  Translation 
No  Refereed 
No 
