Degeneration of SL(n)-bundles on a reducible curve

  title={Degeneration of SL(n)-bundles on a reducible curve},
  author={Xiaotao Sun},
  journal={arXiv: Algebraic Geometry},
  • Xiaotao Sun
  • Published 7 December 2001
  • Mathematics
  • arXiv: Algebraic Geometry
We constructed a projective moduli space of semistable torsion free sheaves with `fixed determinant' on a reducible curve. When a family of smooth curves degenerates to the reducible curve, our moduli space is a degeneration of the moduli spaces of semistable vector bundles with a fixed determinant on the smooth curves. Moreover, the moduli space is reduced and seminormal. 
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