Abstract

Let X be a complete non-singular algebraic curve of genus 9 > 2 over an algebraically closed field k, n a positive integer, d an integer and L a line bundle of degree d over X. It is well known that the isomorphism classes of stable bundles of rank n and determinant L over X form an irreducible non-singular quasiprojective variety S,,L(X) of dimension (n 2 1 ) (9-1) , which is projective if (n,d)= 1 (see [8, 10-13]). It is also easy to see that S,,L(X) is unirational. Our object in this paper is to prove

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