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

asked 2017-03-21 13:55:37 -0600

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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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Comments

Multiplicity?

kcrisman gravatar imagekcrisman ( 2017-03-21 16:56:29 -0600 )edit