Comparison between the fundamental group scheme of a relative scheme and that of its generic fiber

DOI10.5802/jtnb.731zbMath1267.14029arXiv0807.2286OpenAlexW2963416372MaRDI QIDQ719133

Marco Antei

Publication date: 10 October 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2286

Mathematics Subject Classification ID

Homotopy theory and fundamental groups in algebraic geometry (14F35) Group schemes (14L15) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (5)

Extension of torsors and prime to \(p\) fundamental group scheme ⋮ Extension of finite solvable torsors over a curve ⋮ Galois closure of essentially finite morphisms ⋮ On the abelian fundamental group scheme of a family of varieties ⋮ The fundamental group scheme of a non-reduced scheme

Cites Work

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• Barsotti-Tate groups and \(p\)-adic representations of the fundamental group scheme
• The fundamental group-scheme
• The fundamental group-scheme of an Abelian variety
• Heights of vector bundles and the fundamental group scheme of a curve
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Effective models of group schemes
• Schémas en groupes de type $(p,\ldots,p)$

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