Vol. 12, No. 6, 2018

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 7, 1559–1821
Issue 6, 1311–1557
Issue 5, 1001–1309
Issue 4, 751–999
Issue 3, 493–750
Issue 2, 227–492
Issue 1, 1–225

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors' Addresses
Editors' Interests
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
A blowup algebra for hyperplane arrangements

Mehdi Garrousian, Aron Simis and Ştefan O. Tohăneanu

Vol. 12 (2018), No. 6, 1401–1429

It is shown that the Orlik–Terao algebra is graded isomorphic to the special fiber of the ideal I generated by the (n 1)-fold products of the members of a central arrangement of size n. This momentum is carried over to the Rees algebra (blowup) of I 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 I is Cohen–Macaulay, thus giving another proof of a result of Proudfoot and Speyer about the Cohen–Macaulayness of the Orlik–Terao algebra.

Rees algebra, special fiber algebra, Orlik–Terao algebra, Cohen–Macaulay
Mathematical Subject Classification 2010
Primary: 13A30, 14N20
Secondary: 13C14, 13D02, 13D05
Received: 11 February 2017
Revised: 5 March 2018
Accepted: 8 April 2018
Published: 6 October 2018
Mehdi Garrousian
Departamento de Matemáticas
Universidad de los Andes
Aron Simis
Departamento de Matemática
Universidade Federal de Pernambuco
Recife, Pernambuco
Ştefan O. Tohăneanu
Department of Mathematics
University of Idaho
Moscow, ID
United States