Degenerate Sklyanin algebras and Generalized Twisted Homogeneous Coordinate rings

Details Degenerate Sklyanin algebras and Generalized Twisted Homogeneous Coordinate rings Degenerate Sklyanin algebras and Generalized Twisted Homogeneous Coordinate rings

2008-12-02

arxiv.org/abs/0812.0609v3

J. Algebra 322 (2009) 2508-2527

Mathematics

Rings and Algebras

24 pages. Same as version 2. Corrigendum can be found here: arXiv:1112.5211

Scientific paper

In this work, we introduce the point parameter ring B, a generalized twisted homogeneous coordinate ring associated to a degenerate version of the three-dimensional Sklyanin algebra. The surprising geometry of these algebras yields an analogue to a result of Artin-Tate-van den Bergh, namely that B is generated in degree one and thus is a factor of the corresponding degenerate Sklyanin algebra.

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