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Infinitesimal deformations of some quot schemes, II
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classification
math.AG
keywords
deformationsgeqslantquotbundlecomplexcurvedegreedescribe
abstract
Let $C$ be an irreducible smooth complex projective curve of genus $g$, with $g_C \geqslant 2$. Let $E$ be a vector bundle on $C$ of rank $r$, with $r\geqslant 2$. Let $\mc Q:=\mc Q(E,\,d)$ be the Quot Scheme parameterizing torsion quotients of $E$ of degree $d$. We explicitly describe all deformations of $\mc Q$.
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