Non-abelian cohomology of universal curves in positive characteristic

DOI10.1090/proc/16542zbMath1525.14015arXiv2305.09865OpenAlexW4377982699MaRDI QIDQ6083338

Tatsunari Watanabe

Publication date: 31 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.09865

Mathematics Subject Classification ID

Rational points (14G05) Families, moduli of curves (algebraic) (14H10) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10)

Cites Work

• Relative pro-\(\ell \)completions of mapping class groups
• Some stability properties of Teichmüller modular function fields with pro-\(l\) weight structures
• The irreducibility of the space of curves of a given genus
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Remarks on non-abelian cohomology of proalgebraic groups
• Rational points of universal curves
• Remarks on rational points of universal curves
• Relative Weight Filtrations on Completions of Mapping Class Groups
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}
• Rational points of universal curves in positive characteristics

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