Birational Models of the Moduli Spaces of Stable Vector Bundles over Curves

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We give a method to construct stable vector bundles whose rank divides the degree over curves of genus bigger than one. The method complements the one given by Newstead. Finally, we make some systematic remarks and observations in connection with rationality of moduli spaces of stable vector bundles.
To appear in Intern. Journal of Math., AMS-LaTeX

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