2026-09-24T06:21:57Zhttps://docta.ucm.es/rest/oai/request

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

Moduli spaces of coherent systems of small slope on algebraic curves. Bradlow, S.B. García Prada, O. Mercat, V. Muñoz, Vicente 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. 2023-06-20T03:32:03Z 2023-06-20T03:32:03Z 2009 journal article 0092-7872 10.1080/00927870902747464 https://hdl.handle.net/20.500.14352/43762 http://www.tandfonline.com/doi/pdf/10.1080/00927870902747464 eng 15646 2005/R3 DMS-0072073 MTM2004-07090-C03-01 DMS-0111298 open access Taylor & Francis