A remark on topologies for rational point sets

DOI10.1016/j.jnt.2015.07.015zbMath1337.14002OpenAlexW1592683509MaRDI QIDQ746938

Oliver Lorscheid, Cecília Salgado

Publication date: 21 October 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.015

zbMATH Keywords

rational pointshigher local fieldstopological ring\(k\)-schemeadelic topology

Mathematics Subject Classification ID

Rational points (14G05) Adèle rings and groups (11R56) Schemes and morphisms (14A15)

Related Items (6)

The moduli space of matroids ⋮ A unifying approach to tropicalization ⋮ Hecke algebra isomorphisms and adelic points on algebraic groups ⋮ The topological shadow of \(\mathbb{F}_1\)-geometry: congruence spaces ⋮ Geometry of hyperfields ⋮ A remark on topologies for rational point sets

Cites Work

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• Topology on rational points over \(n\)-local fields
• Weil and Grothendieck approaches to adelic points
• A remark on topologies for rational point sets
• Nombres de Tamagawa et groupes unipotents en caractéristique p
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné

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