Seshadri constants on some Quot schemes

2021/04/27 by Gangopadhyay, Chandranandan, Hanumanthu, Krishna, Sebastian, Ronnie
#14C20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.13111

Abstract

Let E be a vector bundle of rank n on ℙ¹. Fix a positive integer d. Let Q(E,d) denote the Quot scheme of torsion quotients of E of degree d and let Gr(E,d) denote the Grassmann bundle that parametrizes the d-dimensional quotients of the fibers of E. We compute Seshadri constants of ample line bundles on Q(E,d) and Gr(E,d).

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