Algorithms for \(D\)-modules. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, May 16--19, 2000 (Q2756598)

The articles of this volume will not be indexed individually.NEWLINENEWLINENEWLINE Contents: Hidefumi Ohsugi and Takayuki Hibi, Toric ideals and root systems (1-6); Takayuki Ishizeki and Hiroshi Imai, Gröbner bases of acyclic tournament graphs and hypergeometric systems on the group of unipotent matrices (7-20); Hiroyuki Ochiai, The enveloping algebras and the rings of differential operators (Japanese) (21-35); Hiroyuki Ochiai and Toshio Oshima, Commuting differential operators of type \(B_2\) (36-67); Masakazu Muro, An algorithm to compute the \(b_P\)-functions via Gröbner bases of invariant differential operators on prehomogeneous vector spaces (68-81); Masayuki Noro, Implementation of the \(F_4\) algorithm in Asir (Japanese) (82-92); Mircea Mustata, Gregory G. Smith, Harrison Tsai and Uli Walther, \(\mathcal D\)-modules on smooth toric varieties (93-120); Mutsumi Saito, Isomorphism classes of \(A\)-hypergeometric systems (121-127); Toshinori Oaku and Nobuki Takayama, Minimal free resolutions for \(D\)-modules (Japanese) (128-155); Shinichi Tajima, The intersection of ideals in ordinary differential operator rings---calculation methods that use Gröbner bases and their utilization examples (Japanese) (156-163); Shinichi Tajima and Yayoi Nakamura, Calculation of dual bases related to standard types of pseudo-homogeneous isolated singularities (Japanese) (164-189).