algebraic_geometry.h File Reference

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Classes
class	orbiter::layer1_foundations::algebraic_geometry::arc_lifting_with_two_lines
	creates a cubic surface from a 6-arc in a plane More...
class	orbiter::layer1_foundations::algebraic_geometry::clebsch_map
	records the images of a specific Clebsch map More...
class	orbiter::layer1_foundations::algebraic_geometry::cubic_curve
	cubic curves in PG(2,q) More...
class	orbiter::layer1_foundations::algebraic_geometry::del_pezzo_surface_of_degree_two_domain
	domain for del Pezzo surfaces of degree two More...
class	orbiter::layer1_foundations::algebraic_geometry::del_pezzo_surface_of_degree_two_object
	a del Pezzo surface of degree two More...
class	orbiter::layer1_foundations::algebraic_geometry::eckardt_point_info
	information about the Eckardt points of a surface derived from a six-arc More...
class	orbiter::layer1_foundations::algebraic_geometry::eckardt_point
	Eckardt point on a cubic surface using the Schlaefli labeling. More...
class	orbiter::layer1_foundations::algebraic_geometry::quartic_curve_domain
	domain for quartic curves in PG(2,q) with 28 bitangents More...
class	orbiter::layer1_foundations::algebraic_geometry::quartic_curve_object_properties
	properties of a particular quartic curve surface in PG(2,q), as defined by an object of class quartic_curve_object More...
class	orbiter::layer1_foundations::algebraic_geometry::quartic_curve_object
	a particular quartic curve in PG(2,q), given by its equation More...
class	orbiter::layer1_foundations::algebraic_geometry::schlaefli_labels
	schlaefli labeling of objects in cubic surfaces with 27 lines More...
class	orbiter::layer1_foundations::algebraic_geometry::schlaefli
	schlaefli labeling of objects in cubic surfaces with 27 lines More...
class	orbiter::layer1_foundations::algebraic_geometry::seventytwo_cases
	description of a Clebsch map with a fixed tritangent plane More...
class	orbiter::layer1_foundations::algebraic_geometry::surface_domain
	cubic surfaces in PG(3,q) with 27 lines More...
class	orbiter::layer1_foundations::algebraic_geometry::surface_object_properties
	properties of a particular cubic surface in PG(3,q), as defined by an object of class surface_object More...
class	orbiter::layer1_foundations::algebraic_geometry::surface_object
	a particular cubic surface in PG(3,q), given by its equation More...
class	orbiter::layer1_foundations::algebraic_geometry::web_of_cubic_curves
	a web of cubic curves which is used to create an algebraic variety More...

Namespaces
namespace	orbiter
	the orbiter library for the classification of combinatorial objects
namespace	orbiter::layer1_foundations
	algebra, combinatorics and graph theory, geometry, linear algebra, number theory, data structures, solvers, graphics; no group actions
namespace	orbiter::layer1_foundations::algebraic_geometry
	Cubic surfaces, quartic curves, Schlaefli labelings, Eckardt points, Del Pezzo surfaces, Clebsch maps.

Functions
void	orbiter::layer1_foundations::algebraic_geometry::callback_surface_domain_sstr_line_label (std::stringstream &sstr, long int pt, void *data)