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oai:recercat.cat:2117/179052025-07-17T14:14:47Zcom_2072_1033col_2072_452950

The equations of Rees algebras of equimultiple ideals of deviation one. Muiños, Ferran Planas Vilanova, Francesc d'Assís Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions Àrees temàtiques de la UPC::Matemàtiques i estadística Àlgebra lineal Matemàtica aplicada We describe the equations of the Rees algebra R(I) of an equimultiple ideal I of deviation one provided that I has a reduction generated by a regular sequence x1, . . . , xs such that the initial forms x∗ 1, . . . , x∗ s−1 are a regular sequence in the associated graded ring. In particular, we prove that there is a single equation of maximum degree in a minimal generating set of the equations of R(I), which recovers some previous known results. Postprint (published version) 2013-01-01 Article Muiños, F.; Planas, F. A. The equations of Rees algebras of equimultiple ideals of deviation one.. "Proceedings of the American Mathematical Society", 01 Gener 2013, vol. 141, núm. 4, p. 1241-1254. 0002-9939 https://hdl.handle.net/2117/17905 eng http://www.ams.org/journals/proc/2013-141-04/S0002-9939-2012-11398-X/S0002-9939-2012-11398-X.pdf http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain 14 p. application/pdf