Minimal rational curves in moduli spaces of stable bundles

Xiaotao Sun

Minimal rational curves in moduli spaces of stable bundles

代数几何 2007-05-23 v1

作者: Xiaotao Sun

摘要

In this short note, we show that any rational curve passing through the generic point in a moduli space of stable bundles with rank $r$ and fixed determinant on a smooth projective curve of genus $g\ge 4$ has degree (with respect to the anti-canonical line bundle of the moduli space) at least $2r$ . It has degree $2r$ if and only if it is a Hecke curve.

引用

@article{arxiv.math/0310066,
  title  = {Minimal rational curves in moduli spaces of stable bundles},
  author = {Xiaotao Sun},
  journal= {arXiv preprint arXiv:math/0310066},
  year   = {2007}
}

备注

6 pages, amstex

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