M. Acosta

works on

formal completion 1 key polynomials 1 limit key polynomials 1 local domains 1 local uniformization 1 MacLane theory 1 order type 1 tight extensions 1 transcendental extensions 1 valuation extensions 1 valued fields 1

From the 2 of 2 linked papers with an AI index.

most citedKey polynomials for simple extensions of valued fields

20 citations · 20 across the 2 of their papers we have counts for

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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…