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Smooth Character Varieties for Torus Knot Groups

代数几何 2007-05-23 v1 表示论

摘要

Semisimple representations of the free product Z_p*Z_q determine \theta-semistable representations of a specific quiver Q_pq. The dimension vectors of \theta-stable representations of this quiver were classified by Le Bruyn and Adriaenssens. In this paper we classify the moduli spaces M_\alpha^ss(Q_pq,\theta) which are smooth projective varieties.

引用

@article{arxiv.math/0012120,
  title  = {Smooth Character Varieties for Torus Knot Groups},
  author = {Jan Adriaenssens and Raf Bocklandt and Geert Van de Weyer},
  journal= {arXiv preprint arXiv:math/0012120},
  year   = {2007}
}

备注

12 pages