Stability of Secant Bundles on Second Symmetric Power of Curves
Abstract
Given a rank r stable bundle over a smooth irreducible projective curve C, there is an associated rank 2r bundle over S2(C), the second symmetric power of C. In this article we study the stability of this bundle. As a consequence we get an immersion from the moduli space of stable bundles over C to the associated moduli space of stable bundles over S2(C).
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