extensions:max_mediated_sets

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extensions:max_mediated_sets [2019/06/28 09:55] – created oroehrigextensions:max_mediated_sets [2019/06/28 10:09] – corrected stupid mistakes. oroehrig
Line 33: Line 33:
 > $n = newton_configuration($p); > $n = newton_configuration($p);
 > print $n->CONVEX_HULL->VERTICES; > print $n->CONVEX_HULL->VERTICES;
-1 0 +1 0 6
-1 0 1+
 1 2 0 1 2 0
 +1 0 0
 </code> </code>
 Note that the vertices are handled in homogeneous coordinates. The polynomial gets stored in the attachment named ''POLYNOMIAL'': Note that the vertices are handled in homogeneous coordinates. The polynomial gets stored in the attachment named ''POLYNOMIAL'':
Line 65: Line 65:
 1 0 5 1 0 5
 </code> </code>
-You can look at the vanishing ideal, which in this case has two generators:+You can look at the vanishing ideal, which in this case has three generators and degree 3:
 <code> <code>
 + > print $n->VANISHING_IDEAL_GENERATORS->[0];
 +x_1^2 - x_2
 > print $n->VANISHING_IDEAL_GENERATORS->[1]; > print $n->VANISHING_IDEAL_GENERATORS->[1];
 x_1^3 - x_3 x_1^3 - x_3
 > print $n->VANISHING_IDEAL_GENERATORS->[2]; > print $n->VANISHING_IDEAL_GENERATORS->[2];
 x_0 - 1 x_0 - 1
 +> print $n->VANISHING_IDEAL_DEGREE;
 +3
 </code> </code>
 You might also be interested in the dimension of the toric variety: You might also be interested in the dimension of the toric variety:
  • extensions/max_mediated_sets.txt
  • Last modified: 2021/03/20 14:55
  • by yuruk