The curve C: x^2 = 0 has only one irreducible component, but sage says that it is reducible

asked 2017-03-21 19:55:37 +0100

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The curve below has only one irreducible component, but sage says that it is reducible:

P.<x,y,z> = ProjectiveSpace(GF(3),2)
C = Curve(x^2)
C.is_irreducible()
C.irreducible_components()

Does that make any sense?

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Multiplicity?

kcrisman gravatar imagekcrisman ( 2017-03-21 22:56:29 +0100 )edit
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