The Nori fundamental gerbe of a fibered category

Details The Nori fundamental gerbe of a fibered category The Nori fundamental gerbe of a fibered category

2012-04-05

arxiv.org/abs/1204.1260v1

Mathematics

Algebraic Geometry

Scientific paper

We give a condition that ensures that a fibered category over a field admits a universal morphism to a profinite gerbe. This fundamental gerbe generalizes both Nori's fundamental group scheme and Deligne's relative fundamental groupoid. Using a simplified notion of essentially finite bundle, we also give a tannakian construction. We then study various natural quotients of the fundamental gerbe.

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