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oai:docta.ucm.es:20.500.14352/437622023-08-04T02:20:06Zcom_20.500.14352_14col_20.500.14352_15

Bradlow, S.B. García Prada, O. Mercat, V. Muñoz, Vicente 2023-06-20T03:32:03Z 2023-06-20T03:32:03Z 2009 0092-7872 10.1080/00927870902747464 https://hdl.handle.net/20.500.14352/43762 http://www.tandfonline.com/doi/pdf/10.1080/00927870902747464 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 non-empty and obtain necessary and sufficient conditions for non-emptiness. eng open access Moduli spaces of coherent systems of small slope on algebraic curves. journal article