A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangement

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97220Holm studied modules of higher order differential operators (generalising derivations) on generic (central) hyperplane arrangements. We use his results to determine the Hilbert series of these modules. We also give a conjecture about the Poincar{é}-Betti series; these are known for the module of derivations through the work of Yuzvinsky and of Rose and Terao.Source includes Macaulay 2 and Maple codeCommutative Algebra13N10, 14J70A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangementtext