Some quantum P3s with infinitely many points
作者:
M. Vancliff,
K. Van Rompay,
L. Willaert,
期刊:
Communications in Algebra
(Taylor Available online 1998)
卷期:
Volume 26,
issue 4
页码: 1193-1208
ISSN:0092-7872
年代: 1998
DOI:10.1080/00927879808826193
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We consider graded Clifford algebras onngenerators in the spirit of Artin, Tate and Van den Bergh’s non-commutative algebraic geometry. We give an algorithm for counting the point modules over such an algebra, and prove that a generic graded Clifford algebra on four generators has defining relations which are determined by their zero locus in P3× P3Furthermore, we find a 1-parameter family of iterated Ore extensions on four generators which are deformations of a graded Clifford algebra such that the generic member has precisely one point module and a 1-dimensional family of line modules.
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