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 equations
2009
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/346297
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