Ideal classes of three dimensional Artin-Schelter regular algebras

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dc.creatorDe Naeghel, K.
dc.creatorBergh, M. Van den
dc.date2005-03-31
dc.date.accessioned2026-07-07T05:18:40Z
dc.date.available2026-07-07T05:18:40Z
dc.descriptionWe determine the possible Hilbert functions of graded rank one torsion free modules over three dimensional Artin-Schelter regular algebras. It turns out that, as in the commutative case, they are related to Castelnuovo functions. From this we obtain an intrinsic proof that the space of torsion free rank one modules on a non-commutative projective plane is connected. A different proof of this fact, based on deformation theoretic methods and the known commutative case has recently been given by Nevins and Stafford. For the Weyl algebra it was proved by Wilson.
dc.description25 pages with 16 figures
dc.identifierhttps://arxiv.org/abs/math/0503730
dc.identifierhttp://arxiv.org/abs/math/0503730
dc.identifierJournal of Algebra 283 (2005) 399-429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74741
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subjectPrimary 16D25, 16S38, 18E30
dc.titleIdeal classes of three dimensional Artin-Schelter regular algebras
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