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D.5.10.4 Blowupcenter
Procedure from library resbinomial.lib (see resbinomial_lib).
- Usage:
- Blowupcenter(center,id,nchart,infochart,c,n,cstep);
center, infochart lists, id, nchart, n, cstep integers, c number
- Compute:
- The blowing up at the chart IDCHART along the given center
- Return:
- new affine charts and related information, see example
Example:
| | LIB "resbinomial.lib";
ring r = 0,(x(1),y(2),x(3),y(4),x(5..7)),dp;
list flag=identifyvar();
ideal J=x(1)^3-x(3)^2*y(4)^2,x(1)*x(7)*y(2)-x(6)^3*x(5)*y(4)^3,x(5)^3-x(5)^3*y(2)^2;
list Lmb=2,list(0,0,0,0,0,0,0),list(0,0,0,0,0,0,0),list(0,0,0,0,0,0,0),iniD(7),iniD(7),list(0,0,0,0,0,0,0),-1;
list L=data(J,3,7);
list L2=determinecenter(L[1],L[2],2,7,0,0,Lmb,flag,0,-1); // Computing the center
module auxpath=[0,-1];
list infochart=0,0,0,L[2],L[1],flag,0,list(0,0,0,0,0,0,0),auxpath,list(),list();
list L3=Blowupcenter(L2[1],1,1,infochart,2,7,0);
L3[1]; // current chart (parent,Y,center,expJ,Coef,flag,Hhist,blwhist,path,hipercoef,hiperexp) with sons: [12],...,[16]
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> [1]:
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 2
==> [4]:
==> 2
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [2]:
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 3
==> [5]:
==> 1
==> [6]:
==> 3
==> [7]:
==> 0
==> [2]:
==> [1]:
==> 1
==> [2]:
==> 1
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 1
==> [3]:
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 2
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 3
==> [6]:
==> 0
==> [7]:
==> 0
==> [2]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 3
==> [6]:
==> 0
==> [7]:
==> 0
==> [5]:
==> [1]:
==> [1]:
==> -1
==> [2]:
==> 1
==> [2]:
==> [1]:
==> -1
==> [2]:
==> 1
==> [3]:
==> [1]:
==> -1
==> [2]:
==> 1
==> [6]:
==> [1]:
==> 0
==> [2]:
==> 1
==> [3]:
==> 0
==> [4]:
==> 1
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [7]:
==> 0
==> [8]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [9]:
==> _[1]=-gen(2)
==> [10]:
==> empty list
==> [11]:
==> empty list
==> [12]:
==> 2
==> [13]:
==> 3
==> [14]:
==> 4
==> [15]:
==> 5
==> [16]:
==> 6
L3[2][1]; // information of its first son, write L3[2][2],...,L3[2][5] to see the other sons
==> [1]:
==> 1
==> [2]:
==> 3
==> [3]:
==> 3,1,7,5,6
==> [4]:
==> [1]:
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 0
==> [4]:
==> 2
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 0
==> [3]:
==> 1
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [2]:
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 2
==> [4]:
==> 3
==> [5]:
==> 1
==> [6]:
==> 3
==> [7]:
==> 0
==> [2]:
==> [1]:
==> 1
==> [2]:
==> 1
==> [3]:
==> 0
==> [4]:
==> 0
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 1
==> [3]:
==> [1]:
==> [1]:
==> 0
==> [2]:
==> 2
==> [3]:
==> 1
==> [4]:
==> 0
==> [5]:
==> 3
==> [6]:
==> 0
==> [7]:
==> 0
==> [2]:
==> [1]:
==> 0
==> [2]:
==> 0
==> [3]:
==> 1
==> [4]:
==> 0
==> [5]:
==> 3
==> [6]:
==> 0
==> [7]:
==> 0
==> [5]:
==> [1]:
==> [1]:
==> -1
==> [2]:
==> 1
==> [2]:
==> [1]:
==> -1
==> [2]:
==> 1
==> [3]:
==> [1]:
==> -1
==> [2]:
==> 1
==> [6]:
==> [1]:
==> 0
==> [2]:
==> 1
==> [3]:
==> 0
==> [4]:
==> 1
==> [5]:
==> 0
==> [6]:
==> 0
==> [7]:
==> 0
==> [7]:
==> 0,3
==> [8]:
==> [1]:
==> 0,3
==> [2]:
==> 0,0
==> [3]:
==> 0,0
==> [4]:
==> 0,0
==> [5]:
==> 0,3
==> [6]:
==> 0,3
==> [7]:
==> 0,3
==> [9]:
==> _[1]=-gen(2)
==> _[2]=gen(2)+gen(1)
==> [10]:
==> empty list
==> [11]:
==> empty list
L3[3]; // current number of charts
==> 6
L3[4]; // step/level associated to each son
==> [1]:
==> 1
==> [2]:
==> 1
==> [3]:
==> 1
==> [4]:
==> 1
==> [5]:
==> 1
L3[5]; // number of variables in the center
==> 5
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