Remarks on non-abelian cohomology of proalgebraic groups

DOI10.1090/S1056-3911-2013-00598-6zbMath1312.14071arXiv1009.3662OpenAlexW2963133233MaRDI QIDQ2841807

Richard M. Hain

Publication date: 30 July 2013

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3662

Mathematics Subject Classification ID

Rational points (14G05) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Families, moduli of curves (algebraic) (14H10) Other nonalgebraically closed ground fields in algebraic geometry (14G27)

Related Items (5)

Extended simplicial rational Nomizu's theorem and Sullivan's minimal models for non-nilpotent groups ⋮ Central theorems for cohomologies of certain solvable groups ⋮ Non-abelian cohomology of universal curves in positive characteristic ⋮ On the sections of universal hyperelliptic curves ⋮ Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups

Cites Work

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• Cohomology of algebraic linear groups
• The unipotent Albanese map and Selmer varieties for curves
• Some stability properties of Teichmüller modular function fields with pro-\(l\) weight structures
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Cohomology of Lie algebras
• Rational points of universal curves
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}
• On the De Rham cohomology of algebraic varieties

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