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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/184648
$p$-adic differential Galois theory and Galois cohomology
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[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.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente
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CALDERER I GARCÍA, Genís. $p$-adic differential Galois theory and Galois cohomology. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/184648