Inventiones mathematicae

, Volume 113, Issue 1, pp 41-55

First online:

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

  • Gennady LyubeznikAffiliated withDepartment of Mathematics, University of Minnesota

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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.