Existence of $\partial$ -parameterized Picard-Vessiot extensions over fields with algebraically closed constants

preprint2011arXivOpen access

The purpose of this short note is to establish the existence of $\partial$ -parameterized Picard-Vessiot extensions of systems of linear difference-differential equations over difference-differential fields with algebraically closed constants.

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Existence of $\partial$ -parameterized Picard-Vessiot extensions over fields with algebraically closed constants

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Existence of ∂\partial∂-parameterized Picard-Vessiot extensions over fields with algebraically closed constants

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Existence of $\partial$ -parameterized Picard-Vessiot extensions over fields with algebraically closed constants