Quartic curve constructor#
- sage.schemes.plane_quartics.quartic_constructor.QuarticCurve(F, PP=None, check=False)#
Returns the quartic curve defined by the polynomial F.
INPUT:
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)
EXAMPLES:
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