Diophantine inequality for equicharacteristic excellent Henselian local domains
Commutative Algebra
2011-02-15 v5
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.
Keywords
Cite
@article{arxiv.0801.0912,
title = {Diophantine inequality for equicharacteristic excellent Henselian local domains},
author = {Hirotada Ito and Shuzo Izumi},
journal= {arXiv preprint arXiv:0801.0912},
year = {2011}
}
Comments
A correction in the final part of the proof. Accepted to Comptes rendus mathematiques (Mathematical Reports)