Finiteness results concerning algebraic power series
Commutative Algebra
2020-02-21 v1 Algebraic Geometry
Number Theory
Abstract
We construct an explicit filtration of the ring of algebraic power series by finite dimensional constructible sets, measuring the complexity of these series. As an application, we give a bound on the dimension of the set of algebraic power series of bounded complexity lying on an algebraic variety defined over the field of power series.
Cite
@article{arxiv.2002.08452,
title = {Finiteness results concerning algebraic power series},
author = {Fuensanta Aroca and Julie Decaup and Guillaume Rond},
journal= {arXiv preprint arXiv:2002.08452},
year = {2020}
}
Comments
12 pages