Milnor number calculator

asked 2023-12-11 18:42:18 +0100

Carlos J Asencio-Pérez
1 ●1

updated 2023-12-15 13:27:57 +0100

FrédéricC

5311 ●4 ●44 ●118

Does anyone know how to calculate the Milnor number of a 4-variable polynomial in SAGE?

I was testing the online version of Singular, developed by the University of Kaiserslautern, but when asking to calculate the Milnor number, it crashes.

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What's your polynomial?

rburing ( 2023-12-11 21:23:43 +0100 )edit

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answered 2023-12-13 11:57:26 +0100

FrédéricC

5311 ●4 ●44 ●118

Usually, this goes like that

sage: x,y,z = polygens(QQ, 'x,y,z')
sage: P = x**3+y**3+z**3
sage: R = x.parent()
sage: I = R.ideal([P] + [P.derivative(var) for var in R.gens()])
sage: I.dimension()
0
sage: I.vector_space_dimension()
8

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Asked: 2023-12-11 18:42:18 +0100

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Last updated: Dec 13 '23

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