Essential finite generation of valuation rings in characteristic zero algebraic function fields

DOI10.2140/ant.2022.16.291zbMath1495.13010arXiv1912.03546OpenAlexW4287997405WikidataQ114045514 ScholiaQ114045514MaRDI QIDQ2133387

Steven Dale Cutkosky

Publication date: 29 April 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03546

zbMATH Keywords

valuation ringsramification indexinitial index

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18)

Related Items (1)

Local uniformization of Abhyankar valuations

Cites Work

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• Henselian elements
• Ramification of valuations
• Desingularization of two-dimensional schemes
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• Inseparable local uniformization
• Valuation theory
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• Extending a valuation centred in a local domain to the formal completion
• Abhyankar places admit local uniformization in any characteristic
• Desingularization: Invariants and Strategy
• Perron Transforms
• Valued Fields
• Ramification of Valuations and Local Rings in Positive Characteristic
• Essentially finite generation of valuation rings in terms of classical invariants

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