Hi,

On Tue, 10 Aug 2010 13:52:09 -0700 (PDT), abak <anthony....@gmail.com> wrote:
> 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?

Unfortunately, Sage does not do sheaf cohomology yet.  Macaulay2 should
be able to do this; you can have a look at 

http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.3.1/share/doc/Macaulay2/Macaulay2Doc/html/_coherent_spsheaves.html

and related pages, and if that does not help, ask on the Macaulay2
mailing list, see

http://groups.google.com/group/macaulay2


Best,
Alex



-- 
Alex Ghitza -- http://aghitza.org/
Lecturer in Mathematics -- The University of Melbourne -- Australia

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