How do I do sheaf cohomology calculations on a variety described as a
complete (or local complete) intersection in P^n.  I can define the
variety by (for example):

P5, x = ProjectiveSpace(5, QQ).objgens()
X = P5.subscheme([x[0]^2 + x[1]^2 + x[2]^2 + x[3]^2 + x[4]^2, 2*x[0]^2
+ x[1]^2 + 3*x[2]^2 + 4*x[3]^2 + 5*x[4]^2])

What comes next?

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