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arXiv · 1710.03183

Large Fields in Differential Galois Theory

Annette Bachmayr·David Harbater·Julia Hartmann·Florian Pop
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Abstract

We solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over ${\mathbb Q}$. More generally, we show that over such a field, every split differential embedding problem can be solved. In particular, we solve the inverse differential Galois problem and all split differential embedding problems over ${\mathbb Q}_p(x)$.

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Annette Bachmayr, David Harbater, Julia Hartmann, Florian Pop. 2017-10-09. Large Fields in Differential Galois Theory. https://doi.org/10.1017/s1474748020000018

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