Coherent Systems on Elliptic Curves

  title={Coherent Systems on Elliptic Curves},
  author={P. E. Newstead},
In this paper we consider coherent systems (E, V ) on an elliptic curve which are α-stable with respect to some value of a parameter α. 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 α. 

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