Fundamental group schemes of some Quot schemes on a smooth projective curve

[摘要] Let k be an algebraically closed field. Let C be an irreducible smooth projective curve over k. Let E be a locally free sheaf on C of rank >= 2. Fix an integer d >= 2. Let Q denote the Quot scheme parameterizing torsion quotients of E of degree d. In this article we compute the S-fundamental group scheme of Q. (C) 2020 Elsevier Inc. All rights reserved.

[发布日期] 2020-11-15

[关键词] Finite vector bundle;S-fundamental group scheme;Hilbert scheme;Semistable bundle;Tannakian category