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| extensions:max_mediated_sets [2019/06/28 09:55] – created oroehrig | extensions:max_mediated_sets [2019/06/28 10:24] – oguzhan does not like vanishing ideals anymore. oroehrig | ||
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| Line 33: | Line 33: | ||
| > $n = newton_configuration($p); | > $n = newton_configuration($p); | ||
| > print $n-> | > print $n-> | ||
| - | 1 0 0 | + | 1 0 6 |
| - | 1 0 1 | + | |
| 1 2 0 | 1 2 0 | ||
| + | 1 0 0 | ||
| </ | </ | ||
| Note that the vertices are handled in homogeneous coordinates. The polynomial gets stored in the attachment named '' | Note that the vertices are handled in homogeneous coordinates. The polynomial gets stored in the attachment named '' | ||
| Line 64: | Line 64: | ||
| 1 1 1 | 1 1 1 | ||
| 1 0 5 | 1 0 5 | ||
| - | </ | ||
| - | You can look at the vanishing ideal, which in this case has two generators: | ||
| - | < | ||
| - | > print $n-> | ||
| - | x_1^3 - x_3 | ||
| - | > print $n-> | ||
| - | x_0 - 1 | ||
| - | </ | ||
| - | You might also be interested in the dimension of the toric variety: | ||
| - | < | ||
| - | > print $n-> | ||
| - | 9 | ||
| </ | </ | ||