Details:
Title  Moduli of McKay quiver representations II: Gröbner basis techniques  Author(s)  Alastair Craw, Diane Maclagan, Rekha R. Thomas  Type  Article in Journal  Abstract  In this paper we introduce several computational techniques for the study of moduli spaces of McKay quiver representations, making use of Gröbner bases and toric geometry. For a finite abelian group G ⊂ GL ( n , k ) , let Y θ be the coherent component of the moduli space of θstable representations of the McKay quiver. Our two main results are as follows: we provide a simple description of the quiver representations corresponding to the torus orbits of Y θ , and, in the case where Y θ equals Nakamura  Keywords  McKay quiver, Gröbner bases, GHilbert scheme  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S002186930700107X 
Language  English  Journal  Journal of Algebra  Volume  316  Number  2  Pages  514  535  Year  2007  Note  Computational Algebra  Edition  0  Translation 
No  Refereed 
No 
