23.6 Ambient Spaces

Module: sage.schemes.generic.ambient_space

Module-level Functions

is_AmbientSpace( x)

Class: AmbientSpace

class AmbientSpace
Base class for ambient spaces over a ring.

INPUT: n - dimension R - ring

AmbientSpace( self, n, [R=Integer Ring])

Functions: ambient_space,$  $ assign_names,$  $ base_extend,$  $ defining_polynomials,$  $ dimension,$  $ gen,$  $ gens,$  $ ngens

assign_names( self, [names=None])

sage: A = AffineSpace(2, Q, 'ab'); A
Affine Space of dimension 2 over Rational Field
sage: A.coordinate_ring()
Polynomial Ring in a, b over Rational Field
sage: A.assign_names('xy'); A.coordinate_ring()
Polynomial Ring in x, y over Rational Field

dimension( self)

Return the relative dimension of this scheme over its base.

Special Functions: __cmp__,$  $ _check_satisfies_equations,$  $ _constructor,$  $ _latex_,$  $ _latex_generic_point,$  $ _repr_,$  $ _repr_generic_point

_check_satisfies_equations( self, v)

Verify that the coordinates of v define a point on this scheme, or raise a TypeError.

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