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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 |
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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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