ALGEBRAIC AND NORI FUNDAMENTAL GERBES
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Publication:5242873
DOI10.1017/S147474801700024XzbMath1436.14001arXiv1605.01332MaRDI QIDQ5242873
Publication date: 7 November 2019
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01332
Homotopy theory and fundamental groups in algebraic geometry (14F35) Categories in geometry and topology (18F99) Group schemes (14L15) Generalizations (algebraic spaces, stacks) (14A20)
Related Items (9)
The arithmetic local Nori fundamental group ⋮ Tamely ramified torsors and parabolic bundles ⋮ Essentially finite vector bundles on normal pseudo-proper algebraic stacks ⋮ Moduli of formal torsors. II ⋮ An embedding problem for finite local torsors over twisted curves ⋮ Unramified \(F\)-divided objects and the étale fundamental pro-groupoid in positive characteristic ⋮ Moduli of formal torsors ⋮ Fundamental gerbes ⋮ On the fundamental group schemes of certain quotient varieties
Cites Work
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- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- Categories tannakiennes
- Notes on Crystalline Cohomology. (MN-21)
- 𝐹-divided sheaves trivialized by dominant maps are essentially finite
- The Nori fundamental gerbe of a fibered category
- On the algebraic fundamental group of smooth varieties in characteristic $p>0$
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