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Coherent Systems on Elliptic curves

H. Lange·P. E. Newstead
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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 $α$. 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 $α$.

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H. Lange, P. E. Newstead. 2005-02-02. Coherent Systems on Elliptic curves. https://arxiv.org/abs/math/0411064

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