Somayeh BandariDepartment of Mathematics, Az-Zahra UniversityJürgen HerzogFachbereich Mathematik, Universität Duisburg-EssenTakayuki HibiDepartment of Pure and Applied Mathematics Graduate School of Information Science and Technology, Osaka University
Arithmetic Geometry and Commutative AlgebraRings and Algebrasmathscidoc:1701.07001
We show that the FI-homology of an FI-module can be computed via a Koszul complex. As an application, we prove that the Castelnuovo-Mumford regularity of a finitely generated torsion FI-module is equal to its degree.