Quasialgebraicity of Picard–vessiot Fields
نویسندگان
چکیده
We prove that under certain spectral assumptions on the monodromy group, solutions of the Fuchsian system of linear equations on the Riemann sphere admit explicit global bounds on the number of their isolated zeros.
منابع مشابه
Linear algebraic groups as parameterized Picard–Vessiot Galois groups
We show that a linear algebraic group is the Galois group of a parameterized Picard-Vessiot extension of k(x), x′ = 1, for certain differential fields k, if and only if its identity component has no one dimensional quotient as a linear algebraic group.
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Article history: Received 7 June 2011 Available online 23 April 2012 Communicated by Leonard L. Scott, Jr.
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