Coherent Systems on Elliptic Curves

@inproceedings{Newstead2004CoherentSO,
  title={Coherent Systems on Elliptic Curves},
  author={P. E. Newstead},
  year={2004}
}
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. 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 10 references

V

  • S. B. Bradlow, O. Garćıa-Prada
  • Muñoz and P. E. Newstead: Coherent systems and…
  • 2003
Highly Influential
6 Excerpts

Atiyah: Vector bundles over an elliptic curve

  • M F.
  • Proc. London Math. Soc
  • 1957
Highly Influential
5 Excerpts

Newstead : Coherent systems of genus 0

  • E. P.
  • Internat . J . Math .
  • 2004

Newstead : Coherent systems and BrillNoether theory

  • O. Garćıa-Prada S. B. Bradlow, V. Muñoz, E. P.
  • Internat . J . Math .
  • 2003

Garćıa-Prada: An application of coherent systems to a Brill-Noether problem

  • O.S.B. Bradlow
  • J. Reine Angew. Math
  • 2002

Espaces de modules de systèmes cohérents

  • M. He
  • Internat. J. Math
  • 1998
1 Excerpt

G

  • A. Bertram
  • Daskalopoulos and R. Wentworth: Gromov invariants…
  • 1996
1 Excerpt

Semistable bundles over an elliptic curve

  • L. Tu
  • Adv. Math
  • 1993
3 Excerpts

P

  • E. Arbarello, M. Cornalba
  • A. Griffiths and J. Harris: Geometry of Algebraic…
  • 1985

Similar Papers

Loading similar papers…