Diophantine Inequality for Excellent Henselian Local Domains
نویسندگان
چکیده
G. Rond has proved a Diophantine type inequality for the field of quotients of the convergent or formal power series ring in multivariables. We generalize his theorem to the field of the quotients of an excellent Henselian local domain whose reduced order function is expressed as the minimum of a finite set of good valuations in Rees’s sense. 2000 Mathematics Subject Classification Number: 13H10, 11J25
منابع مشابه
Diophantine Inequality for Equicharacteristic Excellent Henselian Local Domains
G. Rond has proved a Diophantine type inequality for the field of quotients of the convergent or formal power series ring in multivariables. We generalize his theorem to the field of the quotients of an excellent Henselian local domain in equicharacteristic case. RÉSUMÉ. G. Rond a démontré une inégalité de type Diophantien pour le corps des quotients de séries convergentes (ou formelles) à plus...
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