Some quantum P3s with infinitely many points
Some quantum P3s with infinitely many points
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DOI：
10.1080/00927879808826193
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发表时间：
1998
影响因子：
0.7
通讯作者：
M. Vancliff;K. V. Rompay;L. Willaert
中科院分区：
文献类型：
--
作者：
M. Vancliff;K. V. Rompay;L. Willaert
本文在Artin，Tate和货车den Bergh的非交换代数几何的基础上，研究了n个生成元上的分次Clifford代数.给出了这类代数上点模的计数算法，证明了四个生成元上的一般分次Clifford代数在P3 × P3中具有由零轨迹决定的定义关系。我们发现了一个关于四个生成元的1-参数的Ore扩张族，它们是分次Clifford代数的变形，使得一般成员恰好有一个点模和一个1-线模的维族
We consider graded Clifford algebras on n generators 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 × P3 Furthermore, 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.