Orbiter 2022
Combinatorial Objects
orbiter::layer1_foundations::algebraic_geometry Namespace Reference

Cubic surfaces, quartic curves, Schlaefli labelings, Eckardt points, Del Pezzo surfaces, Clebsch maps. More...

Classes

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

Functions

void callback_surface_domain_sstr_line_label (std::stringstream &sstr, long int pt, void *data)
 

Detailed Description

Cubic surfaces, quartic curves, Schlaefli labelings, Eckardt points, Del Pezzo surfaces, Clebsch maps.

Function Documentation

◆ callback_surface_domain_sstr_line_label()

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

Definition at line 1134 of file surface_domain_io.cpp.