def __call__(self, P):
r"""
Make morphisms callable.
INPUT:
- ``P`` -- a scheme point.
OUTPUT:
The image scheme point.
EXAMPLES::
sage: R.<x> = PolynomialRing(QQ)
sage: phi = R.hom([QQ(7)])
sage: X = Spec(QQ); Y = Spec(R)
sage: f = X.hom(phi)
sage: f(X.an_element())
Traceback (most recent call last):
...
NotImplementedError
"""
if not is_SchemeTopologicalPoint(P) and P in self.domain():
raise TypeError, "P (=%s) must be a topological scheme point of %s" % (
P, self)
S = self.ring_homomorphism().inverse_image(P.prime_ideal())
return self.codomain()(S)
def __call__(self, P):
r"""
Make morphisms callable.
INPUT:
- ``P`` -- a scheme point.
OUTPUT:
The image scheme point.
EXAMPLES::
sage: R.<x> = PolynomialRing(QQ)
sage: phi = R.hom([QQ(7)])
sage: X = Spec(QQ); Y = Spec(R)
sage: f = X.hom(phi)
sage: f(X.an_element())
Traceback (most recent call last):
...
NotImplementedError
"""
if not is_SchemeTopologicalPoint(P) and P in self.domain():
raise TypeError, "P (=%s) must be a topological scheme point of %s"%(P, self)
S = self.ring_homomorphism().inverse_image(P.prime_ideal())
return self.codomain()(S)
def __call__(self, P):
if not is_SchemeTopologicalPoint(P) and P in self.domain():
raise TypeError, "P (=%s) must be a topological scheme point of %s"%(P, self)
S = self.ring_homomorphism().inverse_image(P.prime_ideal())
return self.codomain()(S)