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arXiv · 1308.6191

Picard--Vessiot structures

Moshe Kamensky
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Abstract

We demonstrate existence and uniqueness of Picard--Vessiot extensions satisfying prescribed properties, for systems of linear differential equations over a field satisfying the same properties, under some closure assumptions on the field of constants. An example includes the case of a equations over a real field, with a real-closed field of constants. The result is obtained through a model theoretic approach.

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Moshe Kamensky. 2013-08-28. Picard--Vessiot structures. https://arxiv.org/abs/1308.6191

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