surfaces_and_arcs.h File Reference

Go to the source code of this file.

Classes
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::arc_lifting
	creates a cubic surface from a 6-arc in a plane using trihedral pairs More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::arc_orbits_on_pairs
	orbits on pairs of points of a non-conical six-arc in PG(2,q) More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::arc_partition
	orbits on the partitions of the remaining four points of a non-conical arc More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::classify_trihedral_pairs
	classification of double triplets in PG(3,q) More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::six_arcs_not_on_a_conic
	classification of six-arcs not on a conic in PG(2,q) More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::surface_classify_using_arc
	classification of cubic surfaces using nonconial six-arcs as substructures More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::surface_create_by_arc_lifting
	to create a single cubic surface from an arc using arc lifting More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::surfaces_arc_lifting_definition_node
	flag orbit node which is a definition node and hence describes a surface More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::surfaces_arc_lifting_trace
	tracing data to be used during the classification of cubic surfaces using lifted 6-arcs More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::surfaces_arc_lifting_upstep
	classification of cubic surfaces using lifted 6-arcs More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::surfaces_arc_lifting
	classification of cubic surfaces using lifted 6-arcs More...
class	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs::trihedral_pair_with_action
	a trihedral pair and its stabilizer More...

Namespaces
namespace	orbiter
	the orbiter library for the classification of combinatorial objects
namespace	orbiter::layer5_applications
	classes for combinatorial objects and their classification
namespace	orbiter::layer5_applications::applications_in_algebraic_geometry
	cubic surfaces, quartic curves, etc.
namespace	orbiter::layer5_applications::applications_in_algebraic_geometry::cubic_surfaces_and_arcs
	cubic surfaces and related six-arcs and trihedral pairs