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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 ReesAlgebra of the ideal $I/J$ over $R/J$. A pair of ideals has been dubbed anAluffi 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 thesituation where $J$ is the ideal of points in general linear position inprojective space and $I$ is its Jacobian ideal.

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