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Some recent results on the punctual Quot schemes

2025/01/02 by Biswas, Indranil, Gangopadhyay, Chandranandan, Sebastian, Ronnie
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.04716

Abstract

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.

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