Essential dimension and pro-finite group schemes

DOI10.2422/2036-2145.202005_020zbMath1487.14096arXiv1904.00789OpenAlexW3129161763MaRDI QIDQ5037198

Giulio Bresciani

Publication date: 28 February 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00789

Mathematics Subject Classification ID

Varieties over global fields (11G35) Homotopy theory and fundamental groups in algebraic geometry (14F35) Group schemes (14L15)

Related Items

On the birational section conjecture with strong birationality assumptions, The field of moduli of a divisor on a rational curve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galois Cohomology
• Essential dimension: A functorial point of view (after A. Merkurjev)
• On the notion of essential dimension for algebraic groups
• Fundamental gerbes
• On periodic compact groups
• Essential dimension of abelian varieties over number fields
• The essential dimension of a \(g\)-dimensional complex abelian variety is \(2g\)
• Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
• On the essential dimension of cyclic \(p\)-groups
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• On cuspidal sections of algebraic fundamental groups
• Coverings of Algebraic Curves
• Sur les repr\'esentations du groupe fondamental d'une vari\'et\'e priv\'ee d'un diviseur \`a croisements normaux simples
• Infinite root stacks and quasi-coherent sheaves on logarithmic schemes
• Essential dimension of algebraic tori
• Some implications between Grothendieck's anabelian conjectures
• Galois Groups and Fundamental Groups
• The Nori fundamental gerbe of a fibered category