  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.
