Diophantine inequality for equicharacteristic excellent Henselian local domains

Mathematics – Commutative Algebra

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

Scientific paper

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.

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