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arXiv · 1411.6983

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

Abbas Nasrollah Nejad·Aron Simis·Rashid Zaare-Nahandi
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Abstract

The algebra in the title has been introduced by P. Aluffi. Let $J\subset I$ be ideals in the commutative ring $R$. The (embedded) Aluffi algebra of $I$ on $R/J$ 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.

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Abbas Nasrollah Nejad, Aron Simis, Rashid Zaare-Nahandi. 2014-11-25. The Aluffi algebra of the Jacobian of points in projective space: torsion-freeness. https://arxiv.org/abs/1411.6983

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