Inventiones mathematicae

, Volume 113, Issue 1, pp 41–55

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)


  • Gennady Lyubeznik
    • Department of MathematicsUniversity of Minnesota

DOI: 10.1007/BF01244301

Cite this article as:
Lyubeznik, G. Invent Math (1993) 113: 41. doi:10.1007/BF01244301


The main goal of this paper is to establish finiteness properties of local cohomology modules in characteristic 0 that would be analogous to those proven by C. Huneke and R. Sharp in characteristicp>0. Our method, based on the theory of algebraicD-modules, seems to be the first application ofD-modules to Commutative Algebra.

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© Springer-Verlag 1993