On some local cohomology modules

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Abstract

We give an explicit description of a certain high order local cohomology module with support in an ideal in terms of some combinatorial information about the minimal primes of the ideal. As a consequence, we give a combinatorial necessary and sufficient condition for an upper bound on the cohomological dimension of the ring with support in the ideal.

Original languageEnglish (US)
Pages (from-to)621-643
Number of pages23
JournalAdvances in Mathematics
Volume213
Issue number2
DOIs
StatePublished - Aug 20 2007

Keywords

  • Cohomological dimension
  • Local cohomology

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