On some local cohomology modules

• Autores: Gennady Lyubeznik
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 213, Nº 2, 2007, págs. 621-643
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.01.004
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• Resumen

  • 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.