A ruled residue theorem for algebraic function fields of curves of prime degree

DOI10.1016/j.jpaa.2023.107453zbMath1530.12004arXiv2305.19117OpenAlexW4379162567WikidataQ123366447 ScholiaQ123366447MaRDI QIDQ6103355

Arpan Dutta

Publication date: 26 June 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.19117

zbMATH Keywords

minimal pairsvaluationextensions of valuations to algebraic function fieldsresidue transcendental extensionsruled residue theorem

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Non-Archimedean valued fields (12J25) General valuation theory for fields (12J20)

Related Items (1)

Nonsplit conics in the reduction of an arithmetic curve

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• Eliminating tame ramification generalizations of Abhyankar's lemma
• A ruled residue theorem for function fields of conics
• Minimal pairs, minimal fields and implicit constant fields
• Algebraic Function Fields and Codes
• The Ruled Residue Theorem for Simple Transcendental Extensions of Valued Fields
• Value groups, residue fields, and bad places of rational function fields
• Valued Fields
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