Keywords

#fundamental_group_scheme

Fundamental group scheme

In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme. It is a generalisation of the étale fundamental group. Although its existence was conjectured by Alexander Grothendieck, the first proof of its existence is due, for schemes defined over fields, to Madhav Nori. A proof of its existence for schemes defined over Dedekind schemes is due to Marco Antei, Michel Emsalem and Carlo Gasbarri.

Sat 7th

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Fundamental group scheme Fundamental group Group scheme Étale fundamental group Marco Antei Torsor (algebraic geometry) Madhav V. Nori Fundamental Fysiks Group Alexander Grothendieck Nori-semistable vector bundle
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