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VOL. 60 | 2010 Two small remarks on Nori fundamental group scheme
Hélène Esnault, Phùng Hô Hai

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Abstract

For $X$ a complete, reduced, geometrically connected scheme over a perfect field of characteristic $p \gt 0$, we analyze the decomposition of Nori's fundamental group scheme into its local and étale parts and raise the question of the relation between the geometry and the splitting of the group scheme. We also describe in categorial terms the functor which corresponds to the inclusion of the maximal reduced subgroup scheme.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1214.14038
MathSciNet: MR2761929

Digital Object Identifier: 10.2969/aspm/06010237

Subjects:
Primary: 14L15

Rights: Copyright © 2010 Mathematical Society of Japan

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