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

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

2011-04-18

arxiv.org/abs/1104.3514v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

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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