Sur la linearite de la fonction de Artin

Details Sur la linearite de la fonction de Artin Sur la linearite de la fonction de Artin

2004-12-14

arxiv.org/abs/math/0412284v4

Mathematics

Commutative Algebra

To appear in Ann. Sci. Ecole Norm. Sup., changes following referee's comments. Proofs have been improved and the counter-examp

Scientific paper

We give here a counter-example to a conjecture of Spivakovsky. M. Spivakovsky conjectured that the function that appears in the strong Artin approximation theorem is bounded by a linear function. First we show that there is no Liouville theorem for the field of fractions of the ring of power series in several variables. We deduce from this example that there is no theory of elimination of quantifiers for the field of fractions of the ring of power series in several variables.

Affiliated with

Also associated with

No associations

Rating

Sur la linearite de la fonction de Artin does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sur la linearite de la fonction de Artin, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sur la linearite de la fonction de Artin will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227301