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Bradlow, S.B. and García Prada, O. and Mercat, V. and Muñoz, Vicente (2009) Moduli spaces of coherent systems of small slope on algebraic curves. Communications in Algebra, 37 (8). pp. 26492678. ISSN 00927872

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/00927870902747464
Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  Algebraic curves; Brill–Noether loci; Coherent systems; Moduli of vector bundles. 
Subjects:  Sciences > Mathematics > Algebraic geometry 
ID Code:  20885 
Deposited On:  17 Apr 2013 13:00 
Last Modified:  12 Dec 2018 15:13 
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