Moduli spaces of coherent systems of small slope on algebraic curves

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

2007-07-06

arxiv.org/abs/0707.0983v2

Mathematics

Algebraic Geometry

27 pages; minor presentational changes and typographical corrections

Scientific paper

Let $C$ be an algebraic curve of genus $g\ge2$. 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 $\alpha$. We study the geometry of the moduli space of coherent systems for $0

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