Extensions of a valuation from $K$ to $K[x]$

DOI10.4064/bc121-11zbMath1460.13009arXiv1905.02169OpenAlexW3109552610MaRDI QIDQ4989135

Josnei Novacoski

Publication date: 20 May 2021

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02169

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18)

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• Maximal fields with valuations. I, II
• Valuations in Function Fields of Surfaces
• Extension d’une valuation
• Value groups, residue fields, and bad places of rational function fields

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