Correspondences on hyperbolic curves

DOI10.1016/S0022-4049(97)00078-9zbMath0965.14013MaRDI QIDQ1295606

Shinichi Mochizuki

Publication date: 5 August 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

automorphisms of Teichmüller spacecorrespondences on hyperbolic curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30) Isogeny (14K02) Teichmüller theory for Riemann surfaces (30F60) Automorphisms of curves (14H37)

Related Items (13)

Rank 2 local systems, Barsotti-Tate groups, and Shimura curves ⋮ Correspondences without a core ⋮ On the Automorphisms of Moduli Spaces of Curves ⋮ Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants ⋮ On self-correspondences on curves ⋮ An effective Arakelov-theoretic version of the hyperbolic isogeny theorem ⋮ On the automorphisms of Hassett’s moduli spaces ⋮ Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups ⋮ The geometry of anabelioids ⋮ Universal covering spaces and fundamental groups in algebraic geometry as schemes ⋮ Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero ⋮ Canonical models of arithmetic (1;∞)-curves ⋮ On Monodromically Full Points of Configuration Spaces of Hyperbolic Curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic Fuchsian groups with signature \((1;e)\)
• A theory of ordinary \(p\)-adic curves
• On Dirichlet series and abelian varieties attached to automorphic forms
• On the automorphism group of a generic curve of genus \(>2\)

This page was built for publication: Correspondences on hyperbolic curves