Quartic curve constructor#

sage.schemes.plane_quartics.quartic_constructor.QuarticCurve(F, PP=None, check=False)#

Returns the quartic curve defined by the polynomial F.


  • F – a polynomial in three variables, homogeneous of degree 4

  • PP – a projective plane (default:None)

  • check – whether to check for smoothness or not (default:False)


sage: x,y,z=PolynomialRing(QQ,['x','y','z']).gens()
sage: QuarticCurve(x**4+y**4+z**4)
Quartic Curve over Rational Field defined by x^4 + y^4 + z^4