SM1 Functions

This chapter describes interface functions for sm1 ox server ox_sm1_forAsir. These interface functions are defined in the file `sm1'. The file `sm1' is
at `$(OpenXM_HOME)/lib/asir/contrib-packages'. The system sm1 is a system to compute in the ring of differential operators. Many constructions of invariants in the computational algebraic geometry reduce to constructions in the ring of differential operators. Documents on sm1 are in the directory OpenXM/doc/kan96xx.

All the coefficients of input polynomials should be integers for most functions in this section. Other functions accept rational numbers as inputs and it will be explicitely noted in each explanation of these functions.

nobuki@yama:~$ asir
This is Risa/Asir, Version 20020802 (Kobe Distribution).
Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
Copyright 2000,2001, Risa/Asir committers, http://www.openxm.org/.
GC 6.1(alpha5) copyright 2001, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
PARI 2.2.1(alpha), copyright (C) 2000,
     C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier.
OpenXM/Risa/Asir-Contrib(20020804), Copyright 2000-2002, OpenXM.org
help("keyword"); ox_help(0); ox_help("keyword"); ox_grep("keyword");
     for help messages (unix version only). 

[283] sm1_deRham([x*(x-1),[x]]);
[1,2]

The author of sm1 : Nobuki Takayama, takayama@math.sci.kobe-u.ac.jp
The author of sm1 packages : Toshinori Oaku, oaku@twcu.ac.jp
Reference: [SST] Saito, M., Sturmfels, B., Takayama, N., Grobner Deformations of Hypergeometric Differential Equations, 1999, Springer. See the appendix.

ox_sm1_forAsir Server

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