00925njm 22002777a 4500
dc
Calderer i García, Genís
author
2021-06-18
[en]The goal of this project has been to give a classification of the forms of Picard-Vessiot extensions defined over a differential field with field of constants $\mathbb{Q}_{p}$, which is not algebraically closed, and with differential Galois group $O\left(2, \mathbb{Q}_{p}\right)$ or $S O\left(2, \mathbb{Q}_{p}\right)$. To do so we present a theoretical background in algebraic geometry, group cohomology and differential Galois theory.
http://hdl.handle.net/2445/184648
$p$-adic differential Galois theory and Galois cohomology