Coherent Systems on Elliptic curves

H. Lange; P. E. Newstead

Coherent Systems on Elliptic curves

Algebraic Geometry 2007-05-23 v3

Authors: H. Lange , P. E. Newstead

Abstract

In this paper we consider coherent systems $(E,V)$ on an elliptic curve which are stable with respect to some value of a parameter $\alpha$ . We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimenson. Moreover we give precise conditions for non-emptiness of the moduli spaces. Finally we study the variation of the moduli spaces with $\alpha$ .

Keywords

moduli spaces stability theory moduli spaces of sheaves

Cite

@article{arxiv.math/0411064,
  title  = {Coherent Systems on Elliptic curves},
  author = {H. Lange and P. E. Newstead},
  journal= {arXiv preprint arXiv:math/0411064},
  year   = {2007}
}

Comments

Final version with some improvements in the presentation and an additional reference

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