Semifinite bundles and the Chevalley–Weil formula

Proceedings of the Indian Academy of Sciences. Mathematical sciences

SHUSUKE OTABE^1¹ 

[1] Mathematical Institute, Tohoku University, 6-3 Aramakiaza, Aoba, Sendai, Miyagi 980-8578, Japan^1

关键词: Fundamental group schemes;    vector bundles;    Tannaka duality;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In our previous paper (Commun. Algebra, 45(8) (2017) 3422–3448), we studied the category of semifinite bundles on a proper variety defined over a field of characteristic 0. As a result, we obtained the fact that for a smooth projective curve defined over an algebraically closed field of characteristic 0 with genus$g$ > 1, Nori fundamental group acts faithfully on the unipotent fundamental group of its universal covering. However, it was not mentioned about any explicit module structure. In this paper, we prove that the Chevalley–Weil formula gives a description of it.

【 授权许可】

CC BY