Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality

Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality

An important result of Ito and Izumi about a Diophantine inequality and the linearity of the Artin approximation function has been generalized recently by Hickel, Ito and Izumi for any excellent Henselian local domain. Our objective is to show that their results are also true in the case when R is a...

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Veröffentlicht in:Journal of pure and applied algebra 2015-05, Vol.219 (5), p.1711-1719
Hauptverfasser: Beddani, Charef, Spivakovsky, Mark
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Commutative Algebra
Mathematics
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Zusammenfassung:An important result of Ito and Izumi about a Diophantine inequality and the linearity of the Artin approximation function has been generalized recently by Hickel, Ito and Izumi for any excellent Henselian local domain. Our objective is to show that their results are also true in the case when R is an analytically irreducible Henselian local domain (without the excellence hypothesis).
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2014.07.008