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

1997/10/03 by Uli Walther, Walther, Uli · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9710004

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

arxiv created 1997/12/09 · arxiv updated 2009/11/30

Abstract

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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