Smallness of fundamental groups for arithmetic schemes
From MaRDI portal
Publication:841253
DOI10.1016/j.jnt.2009.03.010zbMath1222.14047arXiv0803.2096OpenAlexW2022222919MaRDI QIDQ841253
Toshiro Hiranouchi, Shinya Harada
Publication date: 15 September 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.2096
Geometric class field theory (11G45) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Homotopy theory and fundamental groups in algebraic geometry (14F35) Ramification problems in algebraic geometry (14E22)
Related Items
On the distribution of rational points on ramified covers of abelian varieties, The Hilbert property for arithmetic schemes, Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields, Expander graphs, gonality, and variation of Galois representations, On a cohomological generalization of the Shafarevich conjecture for \(K3\) surfaces, Linear algebraic groups with good reduction, Finiteness theorems for algebraic tori over function fields, A Hermite-Minkowski type theorem of varieties over finite fields, On the Shafarevich conjecture for Enriques surfaces, Lefschetz theorems for tamely ramified coverings, Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields, Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher class field theory and the connected component
- Covering data and higher dimensional global class field theory
- A construction of covers of arithmetic schemes
- Class field theory for arithmetic schemes
- Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Groups satisfying the maximal condition for normal subgroups
- The tame fundamental groups of a formal neighbourhood of a divisor with normal crossings on a scheme
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
- Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed
- Finiteness of abelian fundamental groups with restricted ramification
- Mod 𝑝 Galois representations of solvable image
- Small profinite groups
- Tamely ramified covers of varieties and arithmetic schemes
- On representations of the Weil group with bounded conductor
- Tame coverings of arithmetic schemes.