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Sage 9.6 Documentation
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W
A
affine() (sage.schemes.curves.closed_point.IntegralProjectiveCurveClosedPoint method)
affine_patch() (sage.schemes.curves.projective_curve.ProjectiveCurve method)
AffineCurve (class in sage.schemes.curves.affine_curve)
AffineCurve_field (class in sage.schemes.curves.affine_curve)
AffineCurvePoint_field (class in sage.schemes.curves.point)
AffinePlaneCurve (class in sage.schemes.curves.affine_curve)
AffinePlaneCurve_field (class in sage.schemes.curves.affine_curve)
AffinePlaneCurve_finite_field (class in sage.schemes.curves.affine_curve)
AffinePlaneCurvePoint_field (class in sage.schemes.curves.point)
AffinePlaneCurvePoint_finite_field (class in sage.schemes.curves.point)
arithmetic_genus() (sage.schemes.curves.projective_curve.ProjectiveCurve_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method)
B
base_extend() (sage.schemes.jacobians.abstract_jacobian.Jacobian_generic method)
(sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
bisect() (in module sage.schemes.riemann_surfaces.riemann_surface)
blowup() (sage.schemes.curves.affine_curve.AffineCurve_field method)
braid_monodromy() (sage.schemes.curves.affine_curve.AffinePlaneCurve_field method)
C
cache_point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
change_ring() (sage.schemes.curves.curve.Curve_generic method)
(sage.schemes.jacobians.abstract_jacobian.Jacobian_generic method)
closed_point() (sage.schemes.curves.point.IntegralAffineCurvePoint method)
(sage.schemes.curves.point.IntegralProjectiveCurvePoint method)
closed_points() (sage.schemes.curves.affine_curve.IntegralAffineCurve_finite_field method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve_finite_field method)
coefficients() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
cohomology_basis() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
Conic() (in module sage.schemes.plane_conics.constructor)
ConvergenceError
coordinate_functions() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve method)
count_points() (sage.schemes.plane_conics.con_finite_field.ProjectiveConic_finite_field method)
Curve() (in module sage.schemes.curves.constructor)
curve() (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method)
(sage.schemes.jacobians.abstract_jacobian.Jacobian_generic method)
Curve_generic (class in sage.schemes.curves.curve)
CurveClosedPoint (class in sage.schemes.curves.closed_point)
D
defining_polynomial() (sage.schemes.curves.curve.Curve_generic method)
degree() (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
derivative_matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
determinant() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
diagonal_matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
diagonalization() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
differential_basis_baker() (in module sage.schemes.riemann_surfaces.riemann_surface)
divisor() (sage.schemes.curves.curve.Curve_generic method)
divisor_group() (sage.schemes.curves.curve.Curve_generic method)
divisor_of_function() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
downstairs_edges() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
downstairs_graph() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
E
edge_permutations() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
endomorphism_basis() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
excellent_position() (sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
F
find_point() (sage.schemes.plane_conics.con_rational_function_field.ProjectiveConic_rational_function_field method)
function() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve method)
function_field() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve method)
fundamental_group() (sage.schemes.curves.affine_curve.AffinePlaneCurve_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method)
G
gens() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
genus() (sage.schemes.curves.curve.Curve_generic method)
(sage.schemes.plane_quartics.quartic_generic.QuarticCurve_generic method)
geometric_genus() (sage.schemes.curves.curve.Curve_generic method)
H
has_rational_point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
(sage.schemes.plane_conics.con_finite_field.ProjectiveConic_finite_field method)
(sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field method)
(sage.schemes.plane_conics.con_rational_field.ProjectiveConic_rational_field method)
(sage.schemes.plane_conics.con_rational_function_field.ProjectiveConic_rational_function_field method)
has_singular_point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
Hasse_bounds() (in module sage.schemes.curves.projective_curve)
hom() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
homology_basis() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
homomorphism_basis() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
homotopy_continuation() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
I
integer_matrix_relations() (in module sage.schemes.riemann_surfaces.riemann_surface)
IntegralAffineCurve (class in sage.schemes.curves.affine_curve)
IntegralAffineCurve_finite_field (class in sage.schemes.curves.affine_curve)
IntegralAffineCurveClosedPoint (class in sage.schemes.curves.closed_point)
IntegralAffineCurvePoint (class in sage.schemes.curves.point)
IntegralAffineCurvePoint_finite_field (class in sage.schemes.curves.point)
IntegralAffinePlaneCurve (class in sage.schemes.curves.affine_curve)
IntegralAffinePlaneCurve_finite_field (class in sage.schemes.curves.affine_curve)
IntegralAffinePlaneCurvePoint (class in sage.schemes.curves.point)
IntegralAffinePlaneCurvePoint_finite_field (class in sage.schemes.curves.point)
IntegralCurveClosedPoint (class in sage.schemes.curves.closed_point)
IntegralProjectiveCurve (class in sage.schemes.curves.projective_curve)
IntegralProjectiveCurve_finite_field (class in sage.schemes.curves.projective_curve)
IntegralProjectiveCurveClosedPoint (class in sage.schemes.curves.closed_point)
IntegralProjectiveCurvePoint (class in sage.schemes.curves.point)
IntegralProjectiveCurvePoint_finite_field (class in sage.schemes.curves.point)
IntegralProjectivePlaneCurve (class in sage.schemes.curves.projective_curve)
IntegralProjectivePlaneCurve_finite_field (class in sage.schemes.curves.projective_curve)
IntegralProjectivePlaneCurvePoint (class in sage.schemes.curves.point)
IntegralProjectivePlaneCurvePoint_finite_field (class in sage.schemes.curves.point)
intersection_points() (sage.schemes.curves.curve.Curve_generic method)
intersects_at() (sage.schemes.curves.curve.Curve_generic method)
is_complete_intersection() (sage.schemes.curves.projective_curve.ProjectiveCurve_field method)
is_diagonal() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
is_Jacobian() (in module sage.schemes.jacobians.abstract_jacobian)
is_locally_solvable() (sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field method)
(sage.schemes.plane_conics.con_rational_field.ProjectiveConic_rational_field method)
is_ordinary_singularity() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.point.AffinePlaneCurvePoint_field method)
(sage.schemes.curves.point.ProjectivePlaneCurvePoint_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
is_QuarticCurve() (in module sage.schemes.plane_quartics.quartic_generic)
is_singular() (sage.schemes.curves.curve.Curve_generic method)
(sage.schemes.curves.point.AffineCurvePoint_field method)
(sage.schemes.curves.point.ProjectiveCurvePoint_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
is_smooth() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
is_transverse() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.point.AffinePlaneCurvePoint_field method)
(sage.schemes.curves.point.ProjectivePlaneCurvePoint_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
J
Jacobian() (in module sage.schemes.jacobians.abstract_jacobian)
Jacobian_generic (class in sage.schemes.jacobians.abstract_jacobian)
L
L_polynomial() (sage.schemes.curves.projective_curve.IntegralProjectiveCurve_finite_field method)
local_coordinates() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
local_obstructions() (sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field method)
(sage.schemes.plane_conics.con_rational_field.ProjectiveConic_rational_field method)
M
make_zw_interpolator() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
matrix_of_integral_values() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
module
sage.schemes.curves.affine_curve
sage.schemes.curves.closed_point
sage.schemes.curves.constructor
sage.schemes.curves.curve
sage.schemes.curves.point
sage.schemes.curves.projective_curve
sage.schemes.jacobians.abstract_jacobian
sage.schemes.plane_conics.con_field
sage.schemes.plane_conics.con_finite_field
sage.schemes.plane_conics.con_number_field
sage.schemes.plane_conics.con_rational_field
sage.schemes.plane_conics.con_rational_function_field
sage.schemes.plane_conics.constructor
sage.schemes.plane_quartics.quartic_constructor
sage.schemes.plane_quartics.quartic_generic
sage.schemes.riemann_surfaces.riemann_surface
monodromy_group() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
multiplicity() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.point.AffinePlaneCurvePoint_field method)
(sage.schemes.curves.point.ProjectivePlaneCurvePoint_field method)
N
number_of_rational_points() (sage.schemes.curves.projective_curve.IntegralProjectiveCurve_finite_field method)
numerical_inverse() (in module sage.schemes.riemann_surfaces.riemann_surface)
O
ordinary_model() (sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
P
parametric_representation() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
parametrization() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
(sage.schemes.plane_conics.con_rational_field.ProjectiveConic_rational_field method)
period_matrix() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
(sage.schemes.riemann_surfaces.riemann_surface.RiemannSurfaceSum method)
place() (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method)
(sage.schemes.curves.point.IntegralAffineCurvePoint method)
(sage.schemes.curves.point.IntegralProjectiveCurvePoint method)
place_to_closed_point() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve method)
places() (sage.schemes.curves.affine_curve.IntegralAffineCurve_finite_field method)
(sage.schemes.curves.closed_point.IntegralCurveClosedPoint method)
(sage.schemes.curves.point.IntegralAffineCurvePoint method)
(sage.schemes.curves.point.IntegralProjectiveCurvePoint method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve_finite_field method)
places_at_infinity() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
places_on() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve method)
plane_projection() (sage.schemes.curves.affine_curve.AffineCurve_field method)
(sage.schemes.curves.projective_curve.ProjectiveCurve method)
plot() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
plot_paths() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
plot_paths3d() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
projection() (sage.schemes.curves.affine_curve.AffineCurve_field method)
(sage.schemes.curves.projective_curve.ProjectiveCurve method)
projective() (sage.schemes.curves.closed_point.IntegralAffineCurveClosedPoint method)
projective_closure() (sage.schemes.curves.affine_curve.AffineCurve method)
ProjectiveConic_field (class in sage.schemes.plane_conics.con_field)
ProjectiveConic_finite_field (class in sage.schemes.plane_conics.con_finite_field)
ProjectiveConic_number_field (class in sage.schemes.plane_conics.con_number_field)
ProjectiveConic_rational_field (class in sage.schemes.plane_conics.con_rational_field)
ProjectiveConic_rational_function_field (class in sage.schemes.plane_conics.con_rational_function_field)
ProjectiveCurve (class in sage.schemes.curves.projective_curve)
ProjectiveCurve_field (class in sage.schemes.curves.projective_curve)
ProjectiveCurvePoint_field (class in sage.schemes.curves.point)
ProjectivePlaneCurve (class in sage.schemes.curves.projective_curve)
ProjectivePlaneCurve_field (class in sage.schemes.curves.projective_curve)
ProjectivePlaneCurve_finite_field (class in sage.schemes.curves.projective_curve)
ProjectivePlaneCurvePoint_field (class in sage.schemes.curves.point)
ProjectivePlaneCurvePoint_finite_field (class in sage.schemes.curves.point)
Q
quadratic_transform() (sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
QuarticCurve() (in module sage.schemes.plane_quartics.quartic_constructor)
QuarticCurve_generic (class in sage.schemes.plane_quartics.quartic_generic)
R
random_rational_point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
rational_parameterization() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method)
rational_point() (sage.schemes.curves.closed_point.IntegralAffineCurveClosedPoint method)
(sage.schemes.curves.closed_point.IntegralProjectiveCurveClosedPoint method)
(sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
rational_points() (sage.schemes.curves.affine_curve.AffinePlaneCurve_finite_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method)
rational_points_iterator() (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method)
resolution_of_singularities() (sage.schemes.curves.affine_curve.AffineCurve_field method)
riemann_matrix() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
(sage.schemes.riemann_surfaces.riemann_surface.RiemannSurfaceSum method)
riemann_roch_basis() (sage.schemes.curves.affine_curve.AffinePlaneCurve_finite_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method)
riemann_surface() (sage.schemes.curves.affine_curve.AffinePlaneCurve_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method)
RiemannSurface (class in sage.schemes.riemann_surfaces.riemann_surface)
RiemannSurfaceSum (class in sage.schemes.riemann_surfaces.riemann_surface)
rigorous_line_integral() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
rosati_involution() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
S
sage.schemes.curves.affine_curve
module
sage.schemes.curves.closed_point
module
sage.schemes.curves.constructor
module
sage.schemes.curves.curve
module
sage.schemes.curves.point
module
sage.schemes.curves.projective_curve
module
sage.schemes.jacobians.abstract_jacobian
module
sage.schemes.plane_conics.con_field
module
sage.schemes.plane_conics.con_finite_field
module
sage.schemes.plane_conics.con_number_field
module
sage.schemes.plane_conics.con_rational_field
module
sage.schemes.plane_conics.con_rational_function_field
module
sage.schemes.plane_conics.constructor
module
sage.schemes.plane_quartics.quartic_constructor
module
sage.schemes.plane_quartics.quartic_generic
module
sage.schemes.riemann_surfaces.riemann_surface
module
simple_vector_line_integral() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
singular_closed_points() (sage.schemes.curves.affine_curve.IntegralAffineCurve method)
(sage.schemes.curves.projective_curve.IntegralProjectiveCurve method)
singular_point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
singular_points() (sage.schemes.curves.curve.Curve_generic method)
singular_subscheme() (sage.schemes.curves.curve.Curve_generic method)
symmetric_matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
symplectic_automorphism_group() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
symplectic_isomorphisms() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
T
tangent_line() (sage.schemes.curves.affine_curve.AffineCurve_field method)
(sage.schemes.curves.projective_curve.ProjectiveCurve_field method)
tangent_representation_algebraic() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
tangent_representation_numerical() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
tangents() (sage.schemes.curves.affine_curve.AffinePlaneCurve method)
(sage.schemes.curves.point.AffinePlaneCurvePoint_field method)
(sage.schemes.curves.point.ProjectivePlaneCurvePoint_field method)
(sage.schemes.curves.projective_curve.ProjectivePlaneCurve method)
U
union() (sage.schemes.curves.curve.Curve_generic method)
upper_triangular_matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
upstairs_edges() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
V
variable_names() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method)
voronoi_ghost() (in module sage.schemes.riemann_surfaces.riemann_surface)
W
w_values() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)
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