Quasialgebraicity of Picard--Vessiot fields
Dynamical Systems
2010-03-16 v2 Algebraic Geometry
Complex Variables
Abstract
We prove that under certain spectral assumptions on the monodromy group, solutions of Fuchsian systems of linear equations on the Riemann sphere admit explicit global bounds on the number of their isolated zeros.
Cite
@article{arxiv.math/0203210,
title = {Quasialgebraicity of Picard--Vessiot fields},
author = {Dmitry Novikov and Sergei Yakovenko},
journal= {arXiv preprint arXiv:math/0203210},
year = {2010}
}
Comments
39 pages (AmSLaTeX/amsart). Second revision: typos corrected, one figure added