Galois Sections in Absolute Anabelian Geometry

DOI10.1017/S0027763000025599zbMath1129.14042MaRDI QIDQ3374116

Shinichi Mochizuki

Publication date: 9 March 2006

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

Full work available at URL: https://projecteuclid.org/euclid.nmj/1128518456

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Coverings of curves, fundamental group (14H30)

Related Items (9)

On the cuspidalization problem for hyperbolic curves over finite fields ⋮ Pro-\(p\) criterion of good reduction of punctured elliptic curves ⋮ Topics in the Grothendieck conjecture for hyperbolic polycurves of dimension \(2\) ⋮ The cuspidalisation of sections of arithmetic fundamental groups ⋮ On the Hom-form of Grothendieck's birational anabelian conjecture in positive characteristic ⋮ A combinatorial version of the Grothendieck conjecture ⋮ Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation ⋮ The étale theta function and its Frobenioid-theoretic manifestations ⋮ Anabelian reconstruction of the Néron-Tate local height function

Cites Work

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• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• The absolute anabelian geometry of canonical curves
• The local pro-p anabelian geometry of curves
• The irreducibility of the space of curves of a given genus
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD

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