Abstract
Let X be a smooth complex projective curve of genus g over an algebraically closed field k of charcteristic 0. In this paper we prove that given two general stable bundles F and G such that there exists an extension of G by F with E stable. Moreover, such extension also exists for any general stable bundles of F and G of degree even and X either a double covering of a curve of genus 2 or a curve of genus g ≥ 3 + 4(rank G + rank F) + max {rank G, rank F). That solves Lange's conjecture ([L2], p. 455) for such cases.
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