ProjectiveVariety -- the class of all projective varieties

Functions and methods returning a projective variety :

ambient(ProjectiveVariety) (missing documentation)
"char(ProjectiveVariety)" -- see char -- computes the characteristic of the ring or field
codim(ProjectiveVariety) -- codimension of the projective variety
cotangentSheaf(ProjectiveVariety) -- cotangent sheaf of a projective variety
cotangentSheaf(ZZ,ProjectiveVariety) -- exterior powers of the cotangent sheaf of a projective variety
degree(ProjectiveVariety)
"describe(ProjectiveVariety)" -- see describe -- real description
dim(ProjectiveVariety) -- dimension of the projective variety
euler(ProjectiveVariety) -- topological Euler characteristic of a (smooth) projective variety
genera(ProjectiveVariety) -- list of the successive linear sectional arithmetic genera
genus(ProjectiveVariety) -- arithmetic genus
"hh(Sequence,ProjectiveVariety)" -- see hh -- Hodge numbers of a smooth projective variety
HH^ZZ(ProjectiveVariety,CoherentSheaf) -- cohomology of a coherent sheaf on a projective variety
"hilbertFunction(List,ProjectiveVariety)" -- see hilbertFunction -- the Hilbert function
"hilbertFunction(ZZ,ProjectiveVariety)" -- see hilbertFunction -- the Hilbert function
hilbertPolynomial(ProjectiveVariety) -- compute the Hilbert polynomial of the projective variety
hilbertSeries(ProjectiveVariety) -- compute the Hilbert series of a projective variety
"singularLocus(ProjectiveVariety)" -- see singularLocus -- singular locus
tangentSheaf(ProjectiveVariety) -- tangent sheaf of a projective variety