Algorithmic Computation of Local Cohomology Modules and the Cohomological Dimension of Algebraic Varieties

Details Algorithmic Computation of Local Cohomology Modules and the Cohomological Dimension of Algebraic Varieties Algorithmic Computation of Local Cohomology Modules and the Cohomological Dimension of Algebraic Varieties

1997-10-03

arxiv.org/abs/alg-geom/9710004v2

Mathematics

Algebraic Geometry

20 pages, amsart, uses amstex, amssymb, xypic.tex, corrected some typos

Scientific paper

In this paper we present algorithms that compute certain local cohomology
modules associated to a ring of polynomials containing the rational numbers. In
particular we are able to compute the local cohomological dimension of
algebraic varieties in characteristic zero. Our approach is based on the theory
of D-modules.

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