English

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

Algebraic Geometry 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0112072,
  title  = {Degeneration of SL(n)-bundles on a reducible curve},
  author = {Xiaotao Sun},
  journal= {arXiv preprint arXiv:math/0112072},
  year   = {2007}
}

Comments

12 pages, amstex