Geodesic
Quivers, vector bundles and coverings of smooth curves
Lobachevskii journal of mathematics, Tome 19 (2005), pp. 3-12

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Fix a finite quiver $Q$ and consider quiver-bundles on smooth and connected projective curves. Let $f\colon X\to Y$ be a degree $m$ morphism between such curves and $\tilde E$ a quiver bundle on $Y$. We prove that $\tilde E$ is semistable (resp. polystable) if and only if $f^\ast (\tilde E)$ is semistable. Then we construct many stable quiver-bundles on bielliptic curves.
Keywords: holomorphic triples on curves, decorated vector bundle, vector bundles on curves, stable vector bundles, quiver
Mots-clés : bielliptic curve. 
@article{LJM_2005_19_a0,
     author = {E. Ballico},
     title = {Quivers, vector bundles and coverings of smooth curves},
     journal = {Lobachevskii journal of mathematics},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {19},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2005_19_a0/}
}
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E. Ballico. Quivers, vector bundles and coverings of smooth curves. Lobachevskii journal of mathematics, Tome 19 (2005), pp. 3-12. http://geodesic.mathdoc.fr/item/LJM_2005_19_a0/