An example of an infinite set of associated primes of a local cohomology module

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dc.creatorKatzman, Mordechai
dc.date2002-09-25
dc.date.accessioned2026-07-07T04:51:15Z
dc.date.available2026-07-07T04:51:15Z
dc.descriptionLet $(R,m)$ be a local Noetherian ring, let $I\subset R$ be any ideal and let $M$ be a finitely generated $R$-module. In 1990 Craig Huneke conjectured that the local cohomology modules $H^i_I(M)$ have finitely many associated primes for all $i$. In this paper I settle this conjecture by constructing a local cohomology module of a local $k$-algebra with an infinite set of associated primes, and I do this for any field $k$.
dc.identifierhttps://arxiv.org/abs/math/0209353
dc.identifierhttp://arxiv.org/abs/math/0209353
dc.identifierJournal of Algebra, 252 (2002) pp. 161-166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65079
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D45; 13E05; 13A02; 13P99
dc.titleAn example of an infinite set of associated primes of a local cohomology module
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