On Poincare bundles of vector bundles on curves

H. Lange; P. E. Newstead

On Poincare bundles of vector bundles on curves

Algebraic Geometry 2007-05-23 v1

Authors: H. Lange , P. E. Newstead

Abstract

Let $M$ denote the moduli space of stable vector bundles of rank $n$ and fixed determinant of degree coprime to $n$ on a non-singular projective curve $X$ of genus $g \geq 2$ . Denote by $\cU$ a universal bundle on $X \times M$ . We show that, for $x,y \in X, x \neq y$ , the restrictions $\cU|\{x\} \times M$ and $\cU|\{y\} \times M$ are stable and non-isomorphic when considered as bundles on $X$ .

Keywords

poincare bundles vector bundles moduli space stable bundles projective curve universal bundle

Cite

@article{arxiv.math/0411573,
  title  = {On Poincare bundles of vector bundles on curves},
  author = {H. Lange and P. E. Newstead},
  journal= {arXiv preprint arXiv:math/0411573},
  year   = {2007}
}

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8 pages

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