Degenerate Sklyanin algebras and Generalized Twisted Homogeneous Coordinate rings
Rings and Algebras
2011-12-26 v3 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0812.0609,
title = {Degenerate Sklyanin algebras and Generalized Twisted Homogeneous Coordinate rings},
author = {Chelsea Walton},
journal= {arXiv preprint arXiv:0812.0609},
year = {2011}
}
Comments
24 pages. Same as version 2. Corrigendum can be found here: arXiv:1112.5211