p-torsion elements in local cohomology modules

2004/06/17 by Anurag K. Singh · 2 citations
Mathematics · #math.AC

paper · pdf

published as Mathematical Research Letters 7 (2000) 165-176

arxiv created 2004/06/17 · arxiv updated 2009/12/01

Abstract

We construct an example where a local cohomology module of a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prime ideals. We also answer a related question of Hochster.

Cited by

• Koszul cohomology and support of local cohomology modules of complete intersections
• Local cohomology modules with nonclosed support

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• Torsion functors of local cohomology modules
• Associated primes of local cohomology modules
• On generalized Hartshorne's conjecture and local cohomology modules
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