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Coherent Systems on Elliptic curves | H. Lange
; P. E. Newstead
; | Date: |
3 Nov 2004 | Subject: | Algebraic Geometry MSC-class: 14H60;14F05;32L10 | math.AG | Abstract: | In this paper we consider coherent systems $(E,V)$ on an elliptic curve which are stable with respect to some value of a parameter $alpha$. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimenson. Moreover we give precise conditions for non-emptiness of the moduli spaces. Finally we study the variation of the moduli spaces with $alpha$. | Source: | arXiv, math.AG/0411064 | Services: | Forum | Review | PDF | Favorites |
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