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http://hdl.handle.net/1942/2024
Title: | Ideal classes of three dimensional Artin-Schelter regular algebras | Authors: | DE NAEGHEL, Koen VAN DEN BERGH, Michel |
Issue Date: | 2005 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF ALGEBRA, 283(1). p. 399-429 | Abstract: | We 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 P-2 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 [Sklyanin algebras and Hilbert schemes of points, math. AG/0310045]. For the Weyl algebra it was proved by Wilson [Invent. Math. 133 (1) (1998) 1-41]. (C) 2004 Elsevier Inc. All rights reserved. | Notes: | Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.De Naeghel, K, Limburgs Univ Ctr, Dept WNI, Univ Campus,Bldg D, B-3590 Diepenbeek, Belgium.koen.denaeghel@luc.ac.be michel.vandenbergh@luc.ac.be | Keywords: | Weyl algebra; elliptic quantum planes; ideals; Hilbert series | Document URI: | http://hdl.handle.net/1942/2024 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2004.06.011 | ISI #: | 000225574500022 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2006 |
Appears in Collections: | Research publications |
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