Top
Back: BernsteinSatoIdeal
Forward: annfalphaI
FastBack:
FastForward:
Up: dmodideal_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
7.5.6.0. BFBoundsBudur
Procedure from library dmodideal.lib (see dmodideal_lib).

Usage:
BFBoundsBudur(F,m); F an ideal, m an intvec

Return:
ring

Assume:
basering is a commutative polynomial ring in characteristic 0

Purpose:
determine upper and lower bounds of the Bernstein-Sato ideal associated to m with the method of (Bud12)

Note:
The returned ring contains lists Bj, containing the Bernstein-Sato ideals associated to e_j,
shiftedIdeals, containing the shifted ideals from (Bud12) 4.7, and ideals upperBound, lowerBound which give upper bound and lower bound for the Bernstein-Sato-Ideal associated to m respectively.

Example:
 
LIB "dmodideal.lib";
ring r = 0,(x,y,z),dp;
setring r;
ideal F = x*z,2*x^2*y^2*z+x^4+y^4;
def A = BFBoundsBudur(F,intvec(1,1));
setring A;
lead(upperBound);
==> _[1]=2*s(1)^8*s(2)^2
==> _[2]=s(1)^9*s(2)
lead(lowerBound);
==> _[1]=s(1)^11*s(2)
==> _[2]=2*s(1)^10*s(2)^2
==> _[3]=2*s(1)^10*s(2)^2
==> _[4]=4*s(1)^9*s(2)^3


Top Back: BernsteinSatoIdeal Forward: annfalphaI FastBack: FastForward: Up: dmodideal_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.4.0, 2024, generated by texi2html.