Quasialgebraicity of Picard--Vessiot fields

Details Quasialgebraicity of Picard--Vessiot fields Quasialgebraicity of Picard--Vessiot fields

2002-03-20

arxiv.org/abs/math/0203210v2

Mosc. Math. J. 3 (2003), no. 2, 551--591, 744

Mathematics

Dynamical Systems

39 pages (AmSLaTeX/amsart). Second revision: typos corrected, one figure added

Scientific paper

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.

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