We introduce a family of fields of series with support in strongly convex rational cones. All these fields contain the polynomials in several variables. We prove that they are algebraically closed with a construction that is analogous to the Newton polygon for algebraic curves. As a corollary we show the existence of fractional power solutions with support in cones for systems of equations
A family of algebraically closed fields containing the polynomials in several variables / F., Aroca; Ilardi, Giovanna. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 37:4(2009), pp. 1284-1296. [10.1080/00927870802278750]
A family of algebraically closed fields containing the polynomials in several variables
ILARDI, GIOVANNA
2009
Abstract
We introduce a family of fields of series with support in strongly convex rational cones. All these fields contain the polynomials in several variables. We prove that they are algebraically closed with a construction that is analogous to the Newton polygon for algebraic curves. As a corollary we show the existence of fractional power solutions with support in cones for systems of equationsFile in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
aroca ilardi.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Dominio pubblico
Dimensione
281.83 kB
Formato
Adobe PDF
|
281.83 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
