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Macaulay2 web site
NormalToricVarieties
::
Basic invariants and properties of normal toric varieties
Basic invariants and properties of normal toric varieties
Having made a
NormalToricVariety
, one can access its basic invariants or test for some elementary properties by using the following methods:
Menu
rays(NormalToricVariety)
-- get the rays of the associated fan
max(NormalToricVariety)
-- get the maximal cones in the associated fan
expression(NormalToricVariety)
-- get the expression used to format for printing
dim(NormalToricVariety)
-- get the dimension of a normal toric variety
orbits(NormalToricVariety,ZZ)
-- get a list of the torus orbits of a given dimension
isDegenerate(NormalToricVariety)
-- whether a toric variety is degenerate
isSimplicial(NormalToricVariety)
-- whether a toric variety is simplicial
isSmooth(NormalToricVariety)
-- whether a toric variety is smooth
isComplete(NormalToricVariety)
-- whether a toric variety is complete
isProjective(NormalToricVariety)
-- whether a toric variety is projective
isFano(NormalToricVariety)
-- whether a normal toric variety is Fano
fan(NormalToricVariety)
-- make the 'Polyhedra' fan associated to the normal toric variety
See also
Making normal toric varieties
Working with divisors and their associated groups
Total coordinate rings and coherent sheaves
Resolution of singularities