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arxiv: 2409.06434 · v1 · pith:VBUS3Y6V · submitted 2024-09-10 · math.AG

Infinitesimal deformations of some quot schemes, II

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classification math.AG
keywords deformationsgeqslantquotbundlecomplexcurvedegreedescribe
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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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