Annihilators of distributions associated with algebraic local cohomology of a hypersurface
نویسنده
چکیده
Let f be a real-valued real analytic function in several variables. Then we associate with each algebraic local cohomology class u with support in f = 0 a distribution (generalized function) ρ(u) in terms of the residue of fλ + with respect to λ at a negative integer. Then ρ constitutes a homomorphism of modules over the sheaf of analtyic functions but not over the sheaf of differential operators in general. We compare the annihilator of ρ(u) in the ring of differential operators with that of u.
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