Rational points of universal curves in positive characteristics

DOI10.1090/tran/7842zbMath1451.14029arXiv1410.3020OpenAlexW2963969370MaRDI QIDQ5243084

Tatsunari Watanabe

Publication date: 14 November 2019

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

Full work available at URL: https://arxiv.org/abs/1410.3020

zbMATH Keywords

monodromyrational pointsfundamental groupsexact sequenceuniversal curvemoduli stack of curvesfinite étale cover

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Coverings of curves, fundamental group (14H30) Stacks and moduli problems (14D23)

Related Items (3)

Surface bundles and the section conjecture ⋮ Non-abelian cohomology of universal curves in positive characteristic ⋮ Rational points on generic marked hypersurfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational points and arithmetic of fundamental groups. Evidence for the section conjecture
• Monodromy of codimension 1 subfamilies of universal curves
• Relative pro-\(\ell \)completions of mapping class groups
• On sections of some holomorphic families of closed Riemann surfaces
• The irreducibility of the space of curves of a given genus
• Flächen und ebene diskontinuierliche Gruppen
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Rational points of universal curves
• Geometry of Algebraic Curves
• Mapping stacks of topological stacks
• Monodromy of the p-Rank Strata of the Moduli Space of Curves
• Relative Weight Filtrations on Completions of Mapping Class Groups
• Néron Models
• Infinitesimal presentations of the Torelli groups
• The hodge de rham theory of relative malcev completion1
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• Moduli of curves with non-abelian level structure
• Genus 3 mapping class groups are not Kähler
• Galois Groups and Fundamental Groups
• GALOIS ACTIONS ON FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^{-}$
• Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps

This page was built for publication: Rational points of universal curves in positive characteristics