Existentially generated subfields of large fields

DOI10.1016/j.jalgebra.2018.09.021zbMath1431.12009arXiv1710.03353OpenAlexW2963713514MaRDI QIDQ1989810

Sylvy Anscombe

Publication date: 29 October 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03353

zbMATH Keywords

model theorylarge fieldsdefinable setsHenselian valuations

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Valued fields (12J10)

Related Items (3)

The étale open topology over the fraction field of a Henselian local domain ⋮ Nondefinability of rings of integers in most algebraic fields ⋮ Éz fields

Cites Work

• The existential theory of equicharacteristic Henselian valued fields
• Subfields of ample fields. Rational maps and definability
• Embedding problems over large fields
• Random Galois extensions of Hilbertian fields
• Modular fields. I. Separating transcendence bases
• Subfields and Invariants of Inseparable Field Extensions
• Valuation theoretic and model theoretic aspects of local uniformization
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