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Seshadri constants on some Quot schemes

  • Chandranandan Gangopadhyay , Krishna Hanumanthu EMAIL logo and Ronnie Sebastian
Published/Copyright: October 10, 2021

Abstract

Let E be a vector bundle of rank n on 1. 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).

MSC 2010: 14C20

Communicated by Jan Bruinier


Funding statement: The second author was partially supported by a grant from Infosys Foundation and DST SERB MATRICS grant MTR/2017/000243.

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Received: 2021-05-19
Revised: 2021-09-18
Published Online: 2021-10-10
Published in Print: 2021-11-01

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