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

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dc.creatorSnellman, Jan
dc.date2004-08-31
dc.date2004-09-03
dc.date.accessioned2026-07-07T06:26:48Z
dc.date.available2026-07-07T06:26:48Z
dc.descriptionHolm 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.
dc.descriptionSource includes Macaulay 2 and Maple code
dc.identifierhttps://arxiv.org/abs/math/0408437
dc.identifierhttp://arxiv.org/abs/math/0408437
dc.identifierExperimental Mathematics, vol 14, number 4, 2005, pp 445-456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97220
dc.subjectCommutative Algebra
dc.subject13N10, 14J70
dc.titleA conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangement
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