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http://hdl.handle.net/2445/184648
Title: | $p$-adic differential Galois theory and Galois cohomology |
Author: | Calderer i García, Genís |
Director/Tutor: | Crespo Vicente, Teresa |
Keywords: | Geometria algebraica Treballs de fi de grau Homologia Teoria de Galois Teoria de grups Algebraic geometry Bachelor's theses Homology Galois theory Group theory |
Issue Date: | 18-Jun-2021 |
Abstract: | [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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente |
URI: | http://hdl.handle.net/2445/184648 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_genis_calderer_garcia.pdf | Memòria | 789.67 kB | Adobe PDF | View/Open |
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