Rational points of universal curves

DOI10.1090/S0894-0347-2011-00693-0zbMath1225.14016arXiv1001.5008OpenAlexW2962914743MaRDI QIDQ3011040

Richard M. Hain

Publication date: 27 June 2011

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

Full work available at URL: https://arxiv.org/abs/1001.5008

zbMATH Keywords

moduli space of curvesnon-abelian cohomology

Mathematics Subject Classification ID

Rational points (14G05) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Other nonalgebraically closed ground fields in algebraic geometry (14G27)

Related Items

Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem, Conformal field theories and compact curves in moduli spaces, Johnson homomorphisms, Nonabelian reciprocity laws and higher Brauer-Manin obstructions, Surface bundles and the section conjecture, Non-abelian cohomology of universal curves in positive characteristic, Rational points on generic marked hypersurfaces, Monodromy of codimension 1 subfamilies of universal curves, Remarks on rational points of universal curves, Monodromy of closed points on generic hypersurfaces, Arithmetic in the fundamental group of a \(p\)-adic curve. On the \(p\)-adic section conjecture for curves, On the sections of universal hyperelliptic curves, Genus 3 mapping class groups are not Kähler, Quadratic Chabauty for modular curves and modular forms of rank one, Remarks on non-abelian cohomology of proalgebraic groups, Rational points of universal curves in positive characteristics

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