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Moduli spaces of coherent systems of small slope on algebraic curves.

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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. 2649-2678. ISSN 0092-7872

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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 non-empty and obtain necessary and sufficient conditions for non-emptiness.


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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