The paper proves an intermediate value theorem for polynomials and power series over a valued field with an additive divisible valuation group and infinite residue field. A deeper description of the behaviour of the valuation for power series is obtained using Hensel’s Lemma.

On an intermediate value theorem for polynomials and power series over a valued field

TERRACINI, Lea;
2016-01-01

Abstract

The paper proves an intermediate value theorem for polynomials and power series over a valued field with an additive divisible valuation group and infinite residue field. A deeper description of the behaviour of the valuation for power series is obtained using Hensel’s Lemma.
2016
4528
4541
http://www.tandfonline.com/doi/full/10.1080/00927872.2016.1270955
Hensel’s lemma, intermediate value theorem, polynomials, power series, valued fields
Massaza, Carla; Terracini, Lea; Valabrega, Paolo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1642960
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