Fundamental group schemes of Hilbert scheme of n points on a smooth projective surface

被引：4

作者：

Paul, Arjun ^{[1
]}

Sebastian, Ronnie ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2020年 / 164卷

关键词：

Finite vector bundle; S-fundamental group-scheme; Hilbert scheme; Semistable bundle; Tannakian category;

D O I：

10.1016/j.bulsci.2020.102898

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be an algebraically closed field of characteristic p > 3. Let X be an irreducible smooth projective surface over k. Fix an integer n >= 2 and let Hilb(X)(n) be the Hilbert scheme parameterizing effective 0-cycles of length n on X. The aim of the present article is to find the S-fundamental group scheme and Nori's fundamental group scheme of the Hilbert scheme Hilb(X)(n). (C) 2020 Elsevier Masson SAS. All rights reserved.

引用

页数：25

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