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Abstract
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This talk deals with the smoothness and dimension of a locus inside the moduli space of vector bundles on a projective smooth algebraic curve.
Assume that for an integer $d$ with $3\leq d\leq n(g-1)$, a general point of an irreducible component $X$ in the moduli space of stable vector bundles of rank $n$ and degree $d$ with at least $2$ number of linearly independent global sections; has a vector sub-bundle with nowhere zero section. Then we prove that such a component is smooth and of expected dimension.
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