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

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• 作者：Abbas Nasrollah Nejad^a ; ^b ; ¹ ; ^{abbasnn@iasbs.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Aron Simis^c ; ^d ; ² ; ^{aron@dmat.ufpe.br" class="auth_mail" title="E-mail the corresponding author} ; Rashid Zaare-Nahandi^a ; ^{rashidzn@iasbs.ac.ir" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 13A30 ; 13C12 ; 13C40 ; secondary ; 14M12 ; 14C17
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：467
• 期：Complete
• 页码：268-283
• 全文大小：369 K

文摘

The algebra in the title has been introduced by P. Aluffi. Let J⊂I$J\subset I$ be ideals in the commutative ring R. The (embedded) Aluffi algebra of I   on R/J$R/J$ is an intermediate graded algebra between the symmetric algebra and Rees Algebra of the ideal I/J$I/J$ over R/J$R/J$. A pair of ideals has been dubbed an Aluffi torsion-free pair if the surjective map of the Aluffi algebra of I/J$I/J$ onto the Rees algebra of I/J$I/J$ 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.