一些 quot 方案的微小变形，II

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-10 DOI:arxiv-2409.06434

Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian

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引用次数: 0

摘要

让 $C$ 是一条不可还原的光滑复杂投影曲线，其属为 $g$，$g_C \geqslant 2$。让 $E$ 是秩为 $r$ 的 $C$ 上的向量束，其中$r/geqslant 2$.让 $\mc Q:=\mc Q(E,\,d)$ 是参数化秩为 $d$ 的 $E$ 的扭转商的 Quot 方案。我们明确描述 $\mc Q$ 的所有变形。

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Infinitesimal deformations of some quot schemes, II

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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arXiv - MATH - Algebraic Geometry

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