2002•arXiv (Cornell University)Open access

Ideals with maximal local cohomology modules

Enrico Sbarra

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Abstract

We characterize the class of ideals of a polynomial ring such that the hilbert series of their graded local cohomology modules is maximal.

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We characterize the class of ideals of a polynomial ring such that the hilbert series of their graded local cohomology modules is maximal.

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Available abstract

We characterize the class of ideals of a polynomial ring such that the hilbert series of their graded local cohomology modules is maximal.

Key concepts: Mathematics, Lexicographical order, Local cohomology, Square-free integer, Hilbert–Poincaré series, Hilbert series and Hilbert polynomial, Polynomial ring, Ideal (ethics)

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