1. Blowup subalgebras of the Sklyanin algebra
- Author
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Rogalski, D.
- Subjects
- *
BLOWING up (Algebraic geometry) , *GRADED rings , *PROJECTIVE geometry , *QUOTIENT rings , *MATHEMATICAL singularities , *RING theory - Abstract
Abstract: 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 at 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. [Copyright &y& Elsevier]
- Published
- 2011
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