formal completion 1key polynomials 1limit key polynomials 1local domains 1local uniformization 1MacLane theory 1order type 1tight extensions 1transcendental extensions 1valuation extensions 1valued fields 1
From the 2 of 2 linked papers with an AI index.
20 citations · 20 across the 2 of their papers we have counts for
2 papers
math.AG2026★ 20 cited
Key polynomials for simple extensions of valued fields
F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1
The paper refines MacLane’s theory of key polynomials for simple transcendental extensions of rank‑1 valued fields, explicitly describing limit key polynomials and giving upper bou…
math.AC2026
Extending valuations of local domains to complete local domains without changing the value group
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky +1
The paper proves that any valuation on an excellent local Noetherian domain can be extended to its m‑adic completion without changing the value group, confirming Teissier’s conject…