Home Online Manual
Top
Back: Maxord
Forward: convertdata
FastBack:
FastForward:
Up: resbinomial_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.5.5.17 Gamma

Procedure from library resbinomial.lib (see resbinomial_lib).

Usage:
Gamma(L,c,n); L list, c number, n integer

Compute:
The Gamma function, resolution function corresponding to the monomial case

Return:
lists of maximum exponents in L, value of Gamma function, center of blow up

Example:
 
LIB "resbinomial.lib";
ring r = 0,(x(1..5)),dp;
ideal J=x(1)^2*x(2)*x(3)^5*x(4)^2*x(5)^3;
list L=data(J,1,5);
list G=Gamma(L[2][1][1],9,5);   // critical value c=9
G[1]; // maximum exponents in the ideal
==> [1]:
==> 5
==> [2]:
==> 3
==> [3]:
==> 2
G[2]; // maximal value of Gamma function
==> [1]:
==>    -3
==> [2]:
==> 10/9
==> [3]:
==>    3,5,4
G[3]; // center given by Gamma
==> [1]:
==>    3
==> [2]:
==>    5
==> [3]:
==>    4