%0 Journal Article
%A Bradlow, S.B.
%A García Prada, O.
%A Mercat, V.
%A Muñoz, Vicente
%T Moduli spaces of coherent systems of small slope on algebraic curves.
%D 2009
%@ 0092-7872
%U https://hdl.handle.net/20.500.14352/43762
%X 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 spacesare irreducible whenever they are non-empty and obtain necessary and sufficient conditions for non-emptiness.
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