Quartic curve constructor#
- sage.schemes.plane_quartics.quartic_constructor.QuarticCurve(F, PP=None, check=False)[source]#
Return the quartic curve defined by the polynomial
F
.INPUT:
F
– a polynomial in three variables, homogeneous of degree 4PP
– 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
>>> from sage.all import * >>> x,y,z = PolynomialRing(QQ, ['x','y','z']).gens() >>> QuarticCurve(x**Integer(4) + y**Integer(4) + z**Integer(4)) Quartic Curve over Rational Field defined by x^4 + y^4 + z^4