On division of quasianalytic function germs
Algebraic Geometry
2013-10-24 v2
Abstract
In this paper, we establish the following criterion for divisibility in the local ring of those quasianalytic function germs at zero which are definable in a polynomially bounded structure. A sufficient (and necessary) condition for the divisibility of two such function germs is that of their Taylor series at zero in the formal power series ring.
Cite
@article{arxiv.1310.1487,
title = {On division of quasianalytic function germs},
author = {Krzysztof Jan Nowak},
journal= {arXiv preprint arXiv:1310.1487},
year = {2013}
}