Two small remarks on Nori fundamental group scheme

zbMATH Open1214.14038arXiv0905.2303MaRDI QIDQ2999949

Phùng Hô Hai, Hélène Esnault

Publication date: 18 May 2011

Abstract: For $X$ a complete, reduced, geometrically connected scheme over a perfect field of characteristic $p>0$, we analyze the decomposition of Nori's fundamental group scheme into its local and 'etale 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.

Full work available at URL: https://arxiv.org/abs/0905.2303

Mathematics Subject Classification ID

Group schemes (14L15)

Related Items (1)

Fundamental group schemes of \(n\)-fold symmetric product of a smooth projective curve

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