Some recent results on the punctual Quot schemes

Fuente: arXiv
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Autori principali: Biswas, Indranil, Gangopadhyay, Chandranandan, Sebastian, Ronnie
Natura: Preprint
Pubblicazione: 2025
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author Biswas, Indranil
Gangopadhyay, Chandranandan
Sebastian, Ronnie
author_facet Biswas, Indranil
Gangopadhyay, Chandranandan
Sebastian, Ronnie
contents Let $C$ be a smooth projective curve defined over the field of complex numbers. Let $E$ be a vector bundle on $C$, and fix an integer $d\geqslant 1$. Let $\mc Q:={\rm Quot}(E,d)$ be the Quot Scheme which parameterizes all torsion quotients of $E$ of degree $d$. In this article, we survey some recent results on various invariants of $\mc Q$.
format Preprint
id arxiv_https___arxiv_org_abs_2501_04716
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Some recent results on the punctual Quot schemes
Biswas, Indranil
Gangopadhyay, Chandranandan
Sebastian, Ronnie
Algebraic Geometry
Let $C$ be a smooth projective curve defined over the field of complex numbers. Let $E$ be a vector bundle on $C$, and fix an integer $d\geqslant 1$. Let $\mc Q:={\rm Quot}(E,d)$ be the Quot Scheme which parameterizes all torsion quotients of $E$ of degree $d$. In this article, we survey some recent results on various invariants of $\mc Q$.
title Some recent results on the punctual Quot schemes
topic Algebraic Geometry
url https://arxiv.org/abs/2501.04716