Asymptotic growth of powers of ideals

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dc.creatorCiuperca, Catalin
dc.creatorEnescu, Florian
dc.creatorSpiroff, Sandra
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:29:26Z
dc.date.available2026-07-07T07:29:26Z
dc.descriptionLet A be a locally analytically unramified local ring and let J_1,...,J_k,I be ideals in A. If C=C(J_1,...,J_k;I) is the cone generated by the (k+1)-tuples (m_1,...,m_k,n) such that J_1^{m_1}...J_k^{m_k} is contained in I^n, we prove that the topological closure of C is a rational polyhedral cone. This generalizes results by Samuel, Nagata and Rees.
dc.description9 pages, 2 figures, to appear in Illinois J. Math
dc.identifierhttps://arxiv.org/abs/math/0610774
dc.identifierhttp://arxiv.org/abs/math/0610774
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118112
dc.subjectCommutative Algebra
dc.subject13A15; 13A18
dc.titleAsymptotic growth of powers of ideals
dc.typetext

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