Diophantine inequality for equicharacteristic excellent Henselian local domains

Abstract

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.

arXiv commentA correction in the final part of the proof. Accepted to Comptes rendus mathematiques (Mathematical Reports)

Cited by in corpus (1)

• Support of Laurent series algebraic over the field of formal power series