Geometric version of the Grothendieck conjecture for universal curves over Hurwitz stacks

DOI10.2996/kmj/kmj44305zbMath1489.14040OpenAlexW3208602948WikidataQ113702743 ScholiaQ113702743MaRDI QIDQ2059567

Shota Tsujimura

Publication date: 14 December 2021

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/kodai-mathematical-journal/volume-44/issue-3/Geometric-version-of-the-Grothendieck-conjecture-for-universal-curves-over/10.2996/kmj/kmj44305.full

zbMATH Keywords

anabelian geometryHurwitz stackGrothendieck conjectureuniversal curve

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

• On the combinatorial cuspidalization of hyperbolic curves
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• The geometry of the compactification of the Hurwitz scheme
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• Semi-graphs of anabelioids
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• LOG SMOOTH DEFORMATION AND MODULI OF LOG SMOOTH CURVES
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Logarithmic structures of Fontaine-Illusie. II
• Extending families of curves over log regular schemes
• Toric Singularities
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