D-module structure of local cohomology modules of toric algebras

Details D-module structure of local cohomology modules of toric algebras D-module structure of local cohomology modules of toric algebras

2010-05-11

arxiv.org/abs/1005.1972v1

Mathematics

Algebraic Geometry

Scientific paper

Let S be a toric algebra over a field K of characteristic 0 and let I be a
monomial ideal of S. We show that the local cohomology modules H^i_I(S) are of
finite length over the ring of differential operators D(S;K), generalizing the
classical case of a polynomial algebra S. As an application, we compute the
characteristic cycles of some local cohomology modules.

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