The Aluffi algebra of the Jacobian of points in projective space: Torsion-freeness

JOURNAL OF ALGEBRA

卷:467

Article

Nejad, Abbas Nasrollah^1,2  Simis, Aron^3,4  Zaare-Nahandi, Rashid¹ 

[1] IASBS, POB 45195-1159, Zanjan 4513766731, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

[3] Univ Fed Pernambuco, Dept Matemat, BR-50740560 Recife, PE, Brazil

[4] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

关键词: Rees algebra;    Aluffi algebra;    Ideal of projective points;   

DOI  :  10.1016/j.jalgebra.2016.08.012

来源: Elsevier

【 摘 要 】

The algebra in the title has been introduced by P. Aluffi. Let J subset of I be ideals in the commutative ring R. The (embedded) Aluffi algebra of Ion R/J is an intermediate graded algebra between the symmetric algebra and Rees Algebra of the ideal I/J over R/J. A pair of ideals has been dubbed an Aluffi torsion-free pair if the surjective map of the Aluffi algebra of I/J onto the Rees algebra of I/J is injective. In this paper we focus on the situation where J is the ideal of points in general linear position in projective space and I is its Jacobian ideal. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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