Blowup subalgebras of the Sklyanin algebra
Blowup subalgebras of the Sklyanin algebra
复制标题
Sklyanin 代数的放大子代数
DOI：
10.1016/j.aim.2010.08.009
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发表时间：
2009
影响因子：
1.7
通讯作者：
D. Rogalski
中科院分区：
文献类型：
--
作者：
D. Rogalski
本文描述了Sklyanin代数S中由3次元生成的分次环，证明了它们具有许多好的性质。几何上，这些环R对应于Sklyanin P2在7个或更少点处的爆破。证明了环R是S的3-Veronese的商环中的极大阶的S的3次生成子环。
We describe some interesting graded rings which are generated by degree-3 elements inside the Sklyanin algebra S, and prove that they have many good properties. Geometrically, these rings R correspond to blowups of the Sklyanin P2at 7 or fewer points. We show that the rings R are exactly those degree-3-generated subrings of S which are maximal orders in the quotient ring of the 3-Veronese of S.