It is shown that the Orlik–Terao algebra is graded isomorphic to the special fiber of the ideal generated by the -fold products of the members of a central arrangement of size . This momentum is carried over to the Rees algebra (blowup) of and it is shown that this algebra is of fiber-type and Cohen–Macaulay. It follows by a result of Simis and Vasconcelos that the special fiber of is Cohen–Macaulay, thus giving another proof of a result of Proudfoot and Speyer about the Cohen–Macaulayness of the Orlik–Terao algebra.
"A blowup algebra for hyperplane arrangements." Algebra Number Theory 12 (6) 1401 - 1429, 2018. https://doi.org/10.2140/ant.2018.12.1401