Index A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W A abel_jacobi() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) 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) braid2rels() (in module sage.schemes.curves.zariski_vankampen) braid_from_piecewise() (in module sage.schemes.curves.zariski_vankampen) braid_monodromy() (in module sage.schemes.curves.zariski_vankampen) (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) conjugate_positive_form() (in module sage.schemes.curves.zariski_vankampen) ConvergenceError coordinate_functions() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) corrected_voronoi_diagram() (in module sage.schemes.curves.zariski_vankampen) 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) (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface 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) dimension() (sage.schemes.curves.curve.Curve_generic method) discrim() (in module sage.schemes.curves.zariski_vankampen) 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) divisor_to_divisor_list() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface 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 fieldI() (in module sage.schemes.curves.zariski_vankampen) find_closest_element() (in module sage.schemes.riemann_surfaces.riemann_surface) find_point() (sage.schemes.plane_conics.con_rational_function_field.ProjectiveConic_rational_function_field method) followstrand() (in module sage.schemes.curves.zariski_vankampen) 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() (in module sage.schemes.curves.zariski_vankampen) (sage.schemes.curves.affine_curve.AffinePlaneCurve_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method) fundamental_group_arrangement() (in module sage.schemes.curves.zariski_vankampen) fundamental_group_from_braid_mon() (in module sage.schemes.curves.zariski_vankampen) 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_basis() (in module sage.schemes.curves.zariski_vankampen) 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.curves.zariski_vankampen 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 newton() (in module sage.schemes.curves.zariski_vankampen) 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) orient_circuit() (in module sage.schemes.curves.zariski_vankampen) 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_branch_locus() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface 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) populate_roots_interval_cache() (in module sage.schemes.curves.zariski_vankampen) 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) pull_from_function_field() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) 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) reduce_over_period_lattice() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) reparameterize_differential_minpoly() (in module sage.schemes.riemann_surfaces.riemann_surface) 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) roots_interval_cached() (in module sage.schemes.curves.zariski_vankampen) 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.curves.zariski_vankampen 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) strand_components() (in module sage.schemes.curves.zariski_vankampen) strong_approximation() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface 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) upstairs_graph() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) V variable_names() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) voronoi_cells() (in module sage.schemes.curves.zariski_vankampen) voronoi_ghost() (in module sage.schemes.riemann_surfaces.riemann_surface) W w_values() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method)