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

共 17 条

[1] Fundamental group schemes of some Quot schemes on a smooth projective curve
Gangopadhyay, Chandranandan
Sebastian, Ronnie
JOURNAL OF ALGEBRA, 2020, 562 : 290 - 305
[2] Brauer group of Hilbert scheme of two points of a smooth projective surface and applications
Parameshwaran, A. J.
Pandey, Yashonidhi
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2023, 133 (02):
[3] Brauer group of Hilbert scheme of two points of a smooth projective surface and applications
A J Parameshwaran
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Proceedings - Mathematical Sciences, 133
[4] Fundamental group schemes of n-fold symmetric product of a smooth projective curve
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (02):
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Ronnie Sebastian
Proceedings - Mathematical Sciences, 2021, 131
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Göttsche, L
MATHEMATICAL RESEARCH LETTERS, 2001, 8 (5-6) : 613 - 627
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Ballico, Edoardo
Fontanari, Claudio
COMMUNICATIONS IN ALGEBRA, 2014, 42 (09) : 3895 - 3901
[8] DEFORMATIONS OF THE HILBERT SCHEME OF POINTS ON A DEL PEZZO SURFACE
Li, Chunyi
MOSCOW MATHEMATICAL JOURNAL, 2017, 17 (02) : 291 - 321
[9] Euler characteristics of Hilbert schemes of points on simple surface singularities
Gyenge, Adam
Nemethi, Andras
Szendroi, Balazs
EUROPEAN JOURNAL OF MATHEMATICS, 2018, 4 (02) : 439 - 524
[10] The n! conjecture and a vector bundle on the Hilbert scheme of n points in the plane
Chang, C
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