Artículo
Key polynomials for simple extensions of valued fields
Autor/es | Herrera Govantes, Francisco Javier
Mahboub, W. Olalla Acosta, Miguel Ángel |
Departamento | Universidad de Sevilla. Departamento de Álgebra |
Fecha de publicación | 2022-05-28 |
Fecha de depósito | 2023-04-14 |
Publicado en |
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Resumen | In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. Vaqui\'e and reminiscent of approximate roots of Abhyankar and Moh. Given a simple transcendental extension ... In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. Vaqui\'e and reminiscent of approximate roots of Abhyankar and Moh. Given a simple transcendental extension of valued fields, we associate to it a countable well-ordered set of polynomials called key polynomials. We define limit key polynomials and give explicit formulae for them. We give an explicit bound on the order type of the set of key polynomials. |
Cita | Herrera Govantes, F.J., Mahboub, W. y Olalla Acosta, M.Á. (2022). Key polynomials for simple extensions of valued fields. Journal of singularities, 25, 197-267. https://doi.org/10.5427/jsing.2022.25k. |