- HH ChainComplex -- homology of a chain complex
- HH ChainComplexMap -- homology of a chain complex map
- HH^ZZ ChainComplex -- cohomology of a chain complex
- HH^ZZ ChainComplexMap -- cohomology of a chain complex map
- HH^ZZ Module -- local cohomology of a module
- HH^ZZ SheafMap (missing documentation)
- HH^ZZ SheafOfRings -- cohomology of a sheaf of rings on a projective variety
- HH^ZZ SumOfTwists -- coherent sheaf cohomology module
- HH^ZZ(AffineVariety,CoherentSheaf) (missing documentation)
- HH^ZZ CoherentSheaf -- see HH^ZZ(ProjectiveVariety,CoherentSheaf) -- cohomology of a coherent sheaf on a projective variety
- HH^ZZ(ProjectiveVariety,CoherentSheaf) -- cohomology of a coherent sheaf on a projective variety
- HH^ZZ(ProjectiveVariety,SheafMap) (missing documentation)
- HH^ZZ(ProjectiveVariety,SumOfTwists) (missing documentation)
- HH^ZZ(Variety,SheafOfRings) (missing documentation)
- HH_ZZ ChainComplex -- homology of a chain complex
- HH_ZZ ChainComplexMap -- homology of a chain complex map
- HH_ZZ Sequence (missing documentation)
- homology(Matrix,Matrix) -- homology of a pair of maps
- homology(SheafMap,SheafMap) (missing documentation)

The object HH is a scripted functor.