HH^i(F) -- for a coherent sheaf F on a projective variety X, computes
the direct sum over at least the natural numbers n, of the
i-th cohomology groups of F(n).
HH^i(F, Degree=>e) -- same as above, but n ranges over at least
the integers at least as large as e.
i1 : R = QQ[a,b,c,d]/(a^4+b^4+c^4+d^4);
i2 : X = Proj R
o2 = Proj R
o2 : ProjectiveVariety
i3 : HH^1(cotangentSheaf X)
o3 = cokernel {0} | 0 0 0 0 d c b a |
{-4} | d3 c3 b3 a3 0 0 0 0 |
