2026-09-24T06:21:59Zhttps://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 512.7 Algebraic curves Brill–Noether loci Coherent systems Moduli of vector bundles. Geometria algebraica 1201.01 Geometría Algebraica 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. Vector Bundles on Royal Society of London for an International National Science Foundation MEC NSF CIMAT Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T03:32:03Z 2023-06-20T03:32:03Z 2009 journal article https://hdl.handle.net/20.500.14352/43762 0092-7872 10.1080/00927870902747464 eng 15646 2005/R3 DMS-0072073 MTM2004-07090-C03-01 DMS-0111298 open access application/pdf Taylor & Francis