Combinatorial and Geometrical Structures

Several kinds of combinatorial structures may be constructed in Magma. The categories are:

GrphUnd

undirected graphs

GrphDir

directed graphs (digraphs)

Code

error-correcting linear codes

Inc, Dsgn

incidence structures and designs

Plane, PlaneProj, PlaneAff

finite planes (projective, affine)

There are also many functions which operate on integers for enumerative combinatorics.

Geometrical structures in magma include schemes (category Sch), plane curves (category Crv) including elliptic (category CrvEll) and hyperelliptic (category CrvHyp) curves, K3 surfaces (category VSrfK3) and newton polygons (category NwtnPgon). Points in Schemes are in the category Pt, and there is also a category SymKod for Kodaira symbols.