Exception in `Curve([x+y+z+1,x*(x-1)*(x+1)+y*(y-1)*(y+1)]).genus()`

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Georgi Guninski

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Oct 24, 2024, 6:26:46 AM10/24/24
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sage: Kz.<x,y,z>=QQ[]
sage: C=Curve([x+y+z+1,x*(x-1)*(x+1)+y*(y-1)*(y+1)])
sage: C.genus()

253 return self._genus
254 except AttributeError:
--> 255 raise NotImplementedError

NotImplementedError:


sage: C.irreducible_components()
[
Closed subscheme of Affine Space of dimension 3 over Rational Field defined by:
z + 1,
x + y,
Closed subscheme of Affine Space of dimension 3 over Rational Field defined by:
x + y + z + 1,
3*y^2 + 3*y*z + z^2 + 3*y + 2*z
]
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