The étale open topology over the fraction field of a Henselian local domain

DOI10.1002/mana.202100418arXiv2108.01868OpenAlexW4320922328MaRDI QIDQ6047326

Jinhe Ye, Erik Walsberg, Will Johnson

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.01868

zbMATH Keywords

topological fieldsHenselian ringsétale open topology

Mathematics Subject Classification ID

Other nonalgebraically closed ground fields in algebraic geometry (14G27) Field arithmetic (12E30)

Cites Work

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• Henselian implies large
• Dimension of definable sets, algebraic boundedness and Henselian fields
• Subfields of ample fields. Rational maps and definability
• Embedding problems over large fields
• Existentially generated subfields of large fields
• Éz fields
• Commutative rings with restricted minimum condition
• Rational Points on Varieties
• Automatic Continuity of Group Homomorphisms
• Indécidabilité de la théorie des anneaux de séries formelles à plusieurs indéterminées
• Fibres formelles d'un anneau local noethérien
• Valued Fields
• Remarks on the elementary theories of formal and convergent power series

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