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arXiv · 2409.06434

Infinitesimal deformations of some quot schemes, II

Indranil Biswas·Chandranandan Gangopadhyay·Ronnie Sebastian
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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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Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian. 2024-09-10. Infinitesimal deformations of some quot schemes, II. https://arxiv.org/abs/2409.06434

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