Please use this identifier to cite or link to this item: 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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