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1996

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/152103

On the Cohen-Macaulayness of diagonal subalgebras of the Rees algebra

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Abstract

We consider the blowing up of ℙ k/n−1 along a closed subscheme defined by a homogeneous idealI ∪A=k[X 1, …,X n ] generated by forms of degree ≤d, and its projective embeddings by the linear systems corresponding to (I e) c , forc≥de+1. The homogeneous coordinate rings of these embeddings arek[(I e) c ]. One wants to study the Cohen-Macaulay property of these rings. We will prove that if the Rees algebraR A (I) is Cohen-Macaulay, thenk[(I e) c ] are Cohen-Macaulay forc>>e>0, thus proving a conjecture stated by A. Conca, J. Herzog, N.V. Trung and G. Valla.

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Preprint enviat per a la seva publicació en una revista científica: Manuscripta Mathematica, 1998, vol. 95, pp. 47–58. [https://doi.org/10.1007/BF02678014]

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Anells commutatius, Homologia, Mòduls de Cohen-Macaulay

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Universitat de Barcelona. Institut de Matemàtica

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Preprints de Matemàtiques - Mathematics Preprint Series

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LAVILA VIDAL, Olga. On the Cohen-Macaulayness of diagonal subalgebras of the Rees algebra. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/152103

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