Essential finite generation of extensions of valuation rings

DOI10.1002/mana.202100190arXiv2101.08337OpenAlexW3121144869MaRDI QIDQ6047383

Rankeya Datta

Publication date: 9 October 2023

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

Full work available at URL: https://arxiv.org/abs/2101.08337

zbMATH Keywords

valuationsdefectfinite generationramificationHenselization

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Cites Work

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• Henselian elements
• Frobenius and valuation rings
• Every place admits local uniformization in a finite extension of the function field
• Local uniformization of Abhyankar valuations
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Abhyankar places admit local uniformization in any characteristic
• Essentially finite generation of valuation rings in terms of classical invariants

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