Moduli spaces of coherent systems of small slope on algebraic curves

S. B. Bradlow, O. García-Prada, V. Mercat, V. Muñoz, P. E. Newstead

Research output: Contribution to journalArticlepeer-review


Let C be an algebraic curve of genus g ≥ 2. A coherent system on C consists of a pair (E, V), where E is an algebraic vector bundle over C of rank n and degree d and V is a subspace of dimension k of the space of sections of E. The stability of the coherent system depends on a parameter α. We study the geometry of the moduli space of coherent systems for 0 < d ≤ 2n. We show that these spaces are irreducible whenever they are nonempty and obtain necessary and sufficient conditions for nonemptiness.

Original languageEnglish (US)
Pages (from-to)2649-2678
Number of pages30
JournalCommunications in Algebra
Issue number8
StatePublished - Aug 2009


  • Algebraic curves
  • Brill-Noether loci
  • Coherent systems
  • Moduli of vector bundles

ASJC Scopus subject areas

  • Algebra and Number Theory


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